ข้อมูลทั่วไป
- ตำแหน่งทางวิชาการ ศาสตราจารย์ ดร.
- รหัสบุคลากร D1021
- ห้องทำงาน SC45-1207
ความเชี่ยวชาญ
- Number Theory
- Arithmetic Functions
- Continued Fractions and p-adic Analysis
- Functional Equations
- Linear Recurrence Sequences
- Polynomial and Algebraic Computation
การศึกษา
- ปริญญาเอก — Ph.D. (Mathematics), University of Illinois at Urbana-Champaign, พ.ศ. 2526
ผลงานตีพิมพ์
132 ผลงานตีพิมพ์ · 302 การอ้างอิง · h-index 7
ข้อมูลจากฐานข้อมูล Scopus ปรับปรุงเมื่อ สิงหาคม 2569
2026
- Pussadee Yangklan, Vichian Laohakosol
Characterizing multiplicative and additive functions through the use of unitary convolution
Lithuanian Mathematical Journal 66(2), 306-322
DOI: 10.1007/s10986-026-09726-1 - Tuangrat Chaichana, Natthaphong Chitmung, Vichian Laohakosol
CERTAIN ALGEBRAIC FORMAL LAURENT SERIES WITH BOUNDED PARTIAL QUOTIENTS
Integers 26
DOI: 10.5281/zenodo.19949744
2025
- Watcharapon Pimsert, Teerapat Srichan, Vichian Laohakosol
Square-free and square-full numbers in Piatetski–Shapiro subsequences
Periodica Mathematica Hungarica 91(2), 494-504
DOI: 10.1007/s10998-025-00667-9 - Pratchayaporn Doemlim, Vichian Laohakosol, Jittinart Rattanamoong, Tuangrat Chaichana
Degree of independence in non-archimedean fields
Mathematica Slovaca 75(5), 1045-1056
DOI: 10.1515/ms-2025-0077
2024
- Vichian Laohakosol, Pussadee Yangklan
Arithmetic Functions Associated with Exponentially Odd and Exponentially Even Integers
Thai Journal of Mathematics 22(1), 217-225 - Pratchayaporn Doemlim, Vichian Laohakosol, Tuangrat Chaichana
Properties of the Graph Arising from Certain Map over a Finite Field
Thai Journal of Mathematics 22(1), 251-262 - Tuangrat Chaichana, Vichian Laohakosol, Rattiya Meesa
Derivation of Some Identities and Applications
Thai Journal of Mathematics 22(1), 263-269
อ้างอิง 1 ครั้ง - Takao Komatsu, Vichian Laohakosol
The p-Frobenius Problems for the Sequence of Generalized Repunits
Results in Mathematics 79(1), บทความ 26
อ้างอิง 1 ครั้ง · DOI: 10.1007/s00025-023-02055-6 - Phiraphat Sutthimat, Vichian Laohakosol, Rattiya Meesa
A unified approach to derive explicit solutions of generalized second-order linear recurrences and applications
Discrete Mathematics 347(2), บทความ 113757
อ้างอิง 5 ครั้ง · DOI: 10.1016/j.disc.2023.113757
2023
- Pinthira Tangsupphathawat, Teerapat Srichan, Vichian Laohakosol
DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET
Bulletin of the Australian Mathematical Society 108(1), 107-113
Open Access · DOI: 10.1017/S0004972722001241 - Supawadee Prugsapitak, Walisa Intarapak, Vichian Laohakosol
On the Tarry-Escott and Related Problems for 2 × 2 matrices over Q
Kyungpook Mathematical Journal 63(3), 345-353
DOI: 10.5666/KMJ.2023.63.3.345 - Vichian Laohakosol, Rattiya Meesa, Phiraphat Sutthimat
Closed-form solutions of general second order linear recurrences and applications
Discrete Mathematics 346(1), บทความ 113206
อ้างอิง 8 ครั้ง · DOI: 10.1016/j.disc.2022.113206 - Tuangrat Chaichana, Vichian Laohakosol, Rattiya Meesa, Boonrod Yuttanan
Polynomials taking integer values on primes in a function field
Turkish Journal of Mathematics 47(4), 1073-1086
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.55730/1300-0098.3413
2022
- Vichian Laohakosol, Teerapat Srichan, Jinnipha Tongta
On the distribution of r-full primitive roots
Proceedings of the Indian Academy of Sciences Mathematical Sciences 132(2), บทความ 48
DOI: 10.1007/s12044-022-00690-7 - Pinthira Tangsupphathawat, Teerapat Srichan, Vichian Laohakosol
CONSECUTIVE SQUARE-FREE NUMBERS in PIATETSKI-SHAPIRO SEQUENCES
Bulletin of the Australian Mathematical Society 105(2), 217-222
อ้างอิง 5 ครั้ง · Open Access · DOI: 10.1017/S0004972721000666 - Veasna Kim, Vichian Laohakosol, Sukrawan Mavecha
A divided-difference characterization of polynomials over finite fields of characteristic two
Aequationes Mathematicae 96(2), 339-347
DOI: 10.1007/s00010-021-00860-4 - Narakorn Rompurk Kanasri, Takao Komatsu, Vichian Laohakosol
Cameron’s operator in terms of determinants and hypergeometric numbers
Boletin De La Sociedad Matematica Mexicana 28(1), บทความ 9
อ้างอิง 4 ครั้ง · DOI: 10.1007/s40590-021-00401-8 - Vichian Laohakosol, Pussadee Yangklan
Generalized Unitary Convolution, Ramanujan Sums and Applications
Lecture Notes in Networks and Systems 518, 69-92
อ้างอิง 1 ครั้ง · DOI: 10.1007/978-981-19-5181-7_6 - Saeree Wananiyakul, Vichian Laohakosol, Janyarak Tongsomporn
Transcendental Numbers Arising from Mahler’s Method
Lecture Notes in Networks and Systems 214, 111-120
DOI: 10.1007/978-981-16-3807-7_7 - Wuttichai Suriyacharoen, Vichian Laohakosol
Functional Equations Characterizing Certain Determinants And Permanents
Applied Mathematics E Notes 22, 561-565 - Vichian Laohakosol
Arithmetic Functions, Convolution and Finite Fourier Series
Lecture Notes in Networks and Systems 214, 73-97
DOI: 10.1007/978-981-16-3807-7_5 - Tuangrat Chaichana, Vichian Laohakosol, Rattiya Meesa
Sequences of polynomials satisfying the Pascal property
Turkish Journal of Mathematics 46(4), 1565-1579
อ้างอิง 2 ครั้ง · DOI: 10.3906/mat-2201-120 - Pankaj Srivastava, S. S. Thakur, Georgia Irina Oros, Ali A. AlJarrah, Vichian Laohakosol
Preface
Lecture Notes in Networks and Systems 214, v-viii
DOI: 10.1017/9789384463113.002 - Pinthira Tangsupphathawat, Teerapat Srichan, Vichian Laohakosol
Character sums over generalized square-full integers and applications
Journal of Analysis
DOI: 10.1007/s41478-022-00471-5
2021
- Suphareg Thangroongvongthana, Vichian Laohakosol, Sukrawan Mavecha
A class of continuous solutions of a fourth order polynomiallike iterative equation
Current Applied Science and Technology 21(3), 495-523 - Jittinart Rattanamoong, Vichian Laohakosol
Degree of independence of numbers
Mathematica Slovaca 71(3), 615-626
อ้างอิง 1 ครั้ง · DOI: 10.1515/ms-2021-0007 - Pussadee Yangklan, Vichian Laohakosol, Sukrawan Mavecha
Integer factorization and finite Fourier series expansion
Lithuanian Mathematical Journal 61(2), 274-284
อ้างอิง 1 ครั้ง · DOI: 10.1007/s10986-020-09506-5 - Yanapat Tongron, Narakorn Rompurk Kanasri, Vichian Laohakosol
The depth of continued fraction expansion for some classes of rational functions
Asian European Journal of Mathematics 14(3), บทความ 2150033
DOI: 10.1142/S1793557121500339 - Teerapat Srichan, Watcharapon Pimsert, Vichian Laohakosol
New recursion formulas for the partition function
Journal of Integer Sequences 24(6), บทความ 21.6.6
อ้างอิง 1 ครั้ง - Rattiya Meesa, Vichian Laohakosol, Tuangrat Chaichana
Integer-valued polynomials satisfying the Lucas property
Turkish Journal of Mathematics 45(3), 1459-1478
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.3906/mat-2102-104
2020
- Vichian Laohakosol, Teerapat Srichan, Pinthira Tangsupphathawat
Square-full primitive roots in arithmetic progressions
Moscow Journal of Combinatorics and Number Theory 9(2), 187-202
อ้างอิง 2 ครั้ง · DOI: 10.2140/moscow.2020.9.187 - Pinthira Tangsupphathawat, Teerapat Srichan, Vichian Laohakosol
Square-full primitive roots in short intervals
Rad Hrvatske Akademije Znanosti I Umjetnosti Matematicke Znanosti 24(542), 39-48
Open Access · DOI: 10.21857/90836C7NXY
2019
- Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
Linear dependence of four types of arithmetic functions
Songklanakarin Journal of Science and Technology 41(6), 1328-1338 - Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
Independence of additive, multiplicative, exponential and logarithmic functions
Aequationes Mathematicae 93(5), 875-904
DOI: 10.1007/s00010-019-00648-7 - Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
A system of functional equations satisfied by components of a quadratic function and its stability
Bulletin of the Australian Mathematical Society 100(2), 304-316
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1017/S000497271900025X - Pratchayaporn Doemlim, Vichian Laohakosol, Janyarak Tongsomporn
The continued fractions of certain exponentials
Walailak Journal of Science and Technology 16(9), 615-624 - Veasna Kim, Vichian Laohakosol, Supawadee Prugsapitak
Sequences generated by polynomials over integral domains
Walailak Journal of Science and Technology 16(9), 625-633 - Kantaphon Kuhapatanakul, Vichian Laohakosol
The generalized k-sequence
Journal of Discrete Mathematical Sciences and Cryptography 22(6), 943-952
อ้างอิง 1 ครั้ง · DOI: 10.1080/09720529.2019.1627071 - Vichian Laohakosol, Wuttichai Suriyacharoen
Solution of a general pexiderized permanental functional equation
Proceedings of the Indian Academy of Sciences Mathematical Sciences 129(1), บทความ 6
อ้างอิง 1 ครั้ง · DOI: 10.1007/s12044-018-0454-8 - Takao Komatsu, Vichian Laohakosol, Jittinart Rattanamoong
COMPLEX CANTOR SERIES, CANTOR PRODUCTS AND THEIR INDEPENDENCE
Integers 19, บทความ A57
อ้างอิง 1 ครั้ง - Takao Komatsu, Vichian Laohakosol, Pinthira Tangsupphathawat
Truncated euler-carlitz numbers
Hokkaido Mathematical Journal 48(3), 569-588
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.14492/hokmj/1573722018 - Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
Functional equations characterizing the sine and cosine functions over a convex polygon
Applied Mathematics E Notes 19, 277-287 - Kanet Ponpetch, Sukrawan Mavecha, Vichian Laohakosol
Functions with constant sums over a hyperplane and applications
Publications De L Institut Mathematique 105(119), 65-80
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.2298/PIM1919065P - Vichian Laohakosol, Watcharapon Pimsert, Kanet Ponpetch
A circulant functional equation for the additive function and its stability
Turkish Journal of Mathematics 43(6), 2821-2832
Open Access · DOI: 10.3906/mat-1906-68
2018
- Yanapat Tongron, Narakorn Rompurk Kanasri, Vichian Laohakosol
Bounds on the lengths of certain series expansions
Journal of Physics Conference Series 1132(1), บทความ 012001
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1088/1742-6596/1132/1/012001 - Rattiya Meesa, Vichian Laohakosol, Tuangrat Chaichana, Boonrod Yuttanan
Two Properties of Pseudo-Polynomials over a Galois Field
Journal of Physics Conference Series 1132(1), บทความ 012007
Open Access · DOI: 10.1088/1742-6596/1132/1/012007 - Janyarak Tongsomporn, Vichian Laohakosol
A stability result about a functional equation of Drygas on an Abelian group
Journal of Physics Conference Series 1132(1), บทความ 012004
Open Access · DOI: 10.1088/1742-6596/1132/1/012004 - Vichian Laohakosol, Angkana Sripayap
Lower bound for p-adic exponential polynomials evaluated at some integer points
Current Applied Science and Technology 18(2), 66-74
DOI: 10.14456/cast.2018.2 - Pinthira Tangsupphathawat, Takao Komatsu, Vichian Laohakosol
Minimal polynomials of algebraic cosine values, II
Journal of Integer Sequences 21(9) - Sukrawan Mavecha, Vichian Laohakosol, Boonrod Yuttanan
Iterative roots of some functions
Turkish Journal of Mathematics 42(3), 819-840
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.3906/mat-1612-67
2017
- Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
Arithmetic functions and their linear dependence
Aip Conference Proceedings 1905, บทความ 030027
อ้างอิง 1 ครั้ง · DOI: 10.1063/1.5012173 - Airada Sitthaset, Vichian Laohakosol, Sukrawan Mavecha
Polynomials with generalized Fibonacci number coefficients
Aip Conference Proceedings 1905, บทความ 030034
DOI: 10.1063/1.5012180 - Patiwat Singthongla, Narakorn Rompurk Kanasri, Vichian Laohakosol
Prime elements and irreducible polynomials over some imaginary quadratic fields
Kyungpook Mathematical Journal 57(4), 581-600
อ้างอิง 4 ครั้ง · DOI: 10.5666/KMJ.2017.57.4.581 - Janyarak Tongsomporn, Vichian Laohakosol
Polynomial whose values at the integers are n-th power of integers in a quadratic field
Current Applied Science and Technology 17(1), 13-21 - Pussadee Yangklan, Pattira Ruengsinsub, Vichian Laohakosol
Unitary convolution and generalized möbius function
Current Applied Science and Technology 17(1), 1-12
อ้างอิง 3 ครั้ง - Vichian Laohakosol, Pinthira Tangsupphathawat
A combinatorial generalization of the gcd-sum function using a generalized Möbius function
Annales Mathematicae Et Informaticae 47, 141-148
2016
- Vichian Laohakosol, Pinthira Tangsupphathawat
Characterizations of additive functions
Lithuanian Mathematical Journal 56(4), 518-528
อ้างอิง 2 ครั้ง · DOI: 10.1007/s10986-016-9333-0 - Pinthira Tangsupphathawat, Vichian Laohakosol
Minimal polynomials of algebraic cosine values at rational multiples of π
Journal of Integer Sequences 19(2), บทความ 16.2.8
อ้างอิง 3 ครั้ง - Charinthip Hengkrawit, Vichian Laohakosol, Khanithar Naenudorn
Solutions of some particular pexiderized digital filtering functional equation
Annales Mathematicae Et Informaticae 46, 77-96 - Kulprapa Srimud, Suton Tadee, Vichian Laohakosol
Polynomials with only real zeros
Malaysian Journal of Mathematical Sciences 10, 61-68
2015
- Narakorn Rompurk Kanasri, Vichian Laohakosol, Tawat Changphas
Some quadratic irrationals with explicit continued fraction and Engel series expansions
Studia Scientiarum Mathematicarum Hungarica 52(3), 316-336
DOI: 10.1556/012.2015.52.3.1312 - Vichian Laohakosol, Ouamporn Phuksuwan, Kiattisak Prathom
Dirichlet series solutions of generalized Riccati equations
European Journal of Mathematics 1(1), 170-185
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1007/s40879-014-0021-5
2014
- Charinthip Hengkrawit, Vichian Laohakosol, Kanet Ponpetch
Functional equations characterizing the tangent function over a convex polygon
Aequationes Mathematicae 88(3), 201-210
อ้างอิง 3 ครั้ง · DOI: 10.1007/s00010-013-0229-3 - Vichian Laohakosol, Boonrod Yuttanan
Iterates of increasing sequences of positive integers
Aequationes Mathematicae 87(1-2), 89-103
อ้างอิง 4 ครั้ง · DOI: 10.1007/s00010-012-0175-5 - Vichian Laohakosol, Pinthira Tangsupphathawat
A remark about the positivity problem of fourth order linear recurrence sequences
Acta Et Commentationes Universitatis Tartuensis De Mathematica 18(1), 3-8
Open Access · DOI: 10.12697/ACUTM.2014.18.01
2013
- Takao Komatsu, Vichian Laohakosol, Kálmán Liptai
A generalization of poly-Cauchy numbers and their properties
Abstract and Applied Analysis 2013, บทความ 179841
อ้างอิง 13 ครั้ง · Open Access · DOI: 10.1155/2013/179841 - Janyarak Tongsomporn, Vichian Laohakosol
Stability of a generalized trigonometric-quadratic functional equation
Journal of Function Spaces and Applications 2013, บทความ 309098
Open Access · DOI: 10.1155/2013/309098 - Sukrawan Mavecha, Vichian Laohakosol
Asymptotic expansions of iterates of some classical functions
Applied Mathematics E Notes 13, 77-91
อ้างอิง 1 ครั้ง - Tuangrat Chaichana, Takao Komatsu, Vichian Laohakosol
On convergents of certain values of hyperbolic functions formed from diophantine equations
Tokyo Journal of Mathematics 36(1), 147-161
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.3836/tjm/1374497516 - Ouamporn Phuksuwan, Vichian Laohakosol
Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros
Springer Proceedings in Mathematics and Statistics 43, 245-252
DOI: 10.1007/978-1-4614-6642-0_13
2012
- Pinthira Tangsupphathawat, Narong Punnim, Vichian Laohakosol
The positivity problem for fourth order linear recurrence sequences is decidable
Colloquium Mathematicum 128(1), 133-142
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4064/cm128-1-11 - Vichian Laohakosol, Watcharapon Pimsert, Charinthip Hengkrawit, Bruce Ebanks
Some logarithmic functional equations
Archivum Mathematicum 48(3), 173-181
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.5817/AM2012-3-173 - Supreedee Dangskul, Vichian Laohakosol, Pinthira Tangsupphathawat
Values of sequences of purely periodic functions
Applied Mathematics E Notes 12, 5-13 - Takao Komatsu, Vichian Laohakosol, Pattira Ruengsinsub
Independence measures of arithmetic functions II
Acta Arithmetica 153(2), 199-216
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4064/aa153-2-5
2011
- Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn
Hyers-Ulam stability of a generalized trigonometric-quadratic functional equation
International Conference on Applied and Computational Mathematics 127-132 - Ouamporn Phuksuwan, Vichian Laohakosol
A factorization theorem for generalized exponential polynomials with infinitely many integer zeros
Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis 27(2), 211-221
อ้างอิง 1 ครั้ง - Vichian Laohakosol, Kantaphon Kuhapatanakul
Irrationality criteria for infinite products*
Frontiers of Combinatorics and Number Theory 49-58
อ้างอิง 2 ครั้ง - Vichian Laohakosol, W. Rungrottheera
Entire function solutions of a system of two recurrent step equations with exponential polynomial coefficients
Journal of Difference Equations and Applications 17(11), 1695-1710
DOI: 10.1080/10236191003781939 - Vichian Laohakosol, Watcharapon Pimsert
A universal Cauchy functional equation over the positive reals
Journal of Mathematical Analysis and Applications 375(2), 777-789
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1016/j.jmaa.2010.09.063 - Takao Komatsu, Vichian Laohakosol, Pattira Ruengsinsub
Independence measures of arithmetic functions
Journal of Number Theory 131(1), 1-17
อ้างอิง 7 ครั้ง · Open Access · DOI: 10.1016/j.jnt.2010.06.011 - Charinthip Hengkrawit, Vichian Laohakosol, Watcharapon Pimsert
Solutions of a class of nonlinear recursive equations and applications
Scienceasia 37(2), 136-144
Open Access · DOI: 10.2306/scienceasia1513-1874.2011.37.136 - Supawadee Prugsapitak, Vichian Laohakosol
Some families of Diophantine quadruples
Scienceasia 37(2), 152-159
Open Access · DOI: 10.2306/scienceasia1513-1874.2011.37.152
2010
- Oranit Panprasitwech, Vichian Laohakosol, Tuangrat Chaichana
Symmetric continued fractions
Aip Conference Proceedings 1309, 745-750
อ้างอิง 1 ครั้ง · DOI: 10.1063/1.3525200 - Pattira Ruengsinsub, Vichian Laohakosol
Linear dependence of two arithmetic functions
Aip Conference Proceedings 1309, 799-804
DOI: 10.1063/1.3525208 - Jittinart Rattanamoong, Vichian Laohakosol, Tuangrat Chaichana
An analogue of an expansion of Oppenheim in a field of formal series
Aip Conference Proceedings 1309, 786-792
DOI: 10.1063/1.3525206 - Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn
A note on the stability of a generalized trigonometric functional equation
Aip Conference Proceedings 1309, 909-914
อ้างอิง 2 ครั้ง · DOI: 10.1063/1.3525223 - Vichian Laohakosol, Watcharapon Pimsert
A universal cauchy functional equation over the positive reals II
Aip Conference Proceedings 1309, 623-628
DOI: 10.1063/1.3525185 - Tuangrat Chaichana, Vichian Laohakosol, Takao Komatsu
Independence of Liouville series
Aip Conference Proceedings 1309, 200-205
อ้างอิง 1 ครั้ง · DOI: 10.1063/1.3525115 - Vichian Laohakosol, Pinthira Tangsupphathawat, Supreedee Dangskul
Values taken by linear combinations of cosine functions
Applied Mathematics E Notes 10, 184-190
อ้างอิง 2 ครั้ง - Danita Chunarom, Vichian Laohakosol
Expansions of real numbers in non-integer bases
Journal of the Korean Mathematical Society 47(4), 861-877
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.4134/JKMS.2010.47.4.861 - Charinthip Hengkrawit, Vichian Laohakosol, Patanee Udomkavanich
Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functions
Bulletin of the Malaysian Mathematical Sciences Society 33(3), 421-428
อ้างอิง 3 ครั้ง - Nittiya Pabhapote, Vichian Laohakosol
Combinatorial aspects of the generalized Euler’s totient
International Journal of Mathematics and Mathematical Sciences 2010, บทความ 648165
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.1155/2010/648165 - Nittiya Pabhapote, Vichian Laohakosol
Distributive property of completely multiplicative functions
Lithuanian Mathematical Journal 50(3), 312-322
อ้างอิง 3 ครั้ง · DOI: 10.1007/s10986-010-9088-y - Janyarak Tongsomporn, Vichian Laohakosol, Charinthip Hengkrawit, Patanee Udomkavanich
Stability of a generalized trigonometric functional equation
Journal of Computational and Applied Mathematics 234(5), 1448-1457
อ้างอิง 5 ครั้ง · Open Access · DOI: 10.1016/j.cam.2010.02.021 - Vichian Laohakosol, Suphawan Janphaisaeng
Quasi-permutation polynomials
Czechoslovak Mathematical Journal 60(2), 457-488
DOI: 10.1007/s10587-010-0028-0 - Takao Komatsu, Vichian Laohakosol
On the sum of reciprocals of numbers satisfying a recurrence relation of order s
Journal of Integer Sequences 13(5), 1-9
อ้างอิง 22 ครั้ง - Tuangrat Chaichana, Takao Komatsu, Vichian Laohakosol
Liouville numbers in the non-archimedean case
Publicationes Mathematicae Debrecen 77(1-2), 39-63
อ้างอิง 5 ครั้ง · Open Access · DOI: 10.5486/pmd.2010.4557
2009
- Vichian Laohakosol, Pinthira Tangsupphathawat
Positivity of third order linear recurrence sequences
Discrete Applied Mathematics 157(15), 3239-3248
อ้างอิง 20 ครั้ง · Open Access · DOI: 10.1016/j.dam.2009.06.021
2008
- Vichian Laohakosol, Kantaphon Kuhapatanakul, Takao Komatsu
The irrationality criteria of Brun and Badea are essentially equivalent
Aip Conference Proceedings 976, 144-159
อ้างอิง 3 ครั้ง · DOI: 10.1063/1.2841901 - Vichian Laohakosol, Umarin Pintoptang
A modification of Fitzgerald’s characterization of primitive polynomials over a finite field
Finite Fields and their Applications 14(1), 85-91
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.1016/j.ffa.2007.01.002 - Vichian Laohakosol, Umarin Pintoptang
Lengths, periods and expansions of elements written with respect to a digit system over Fq [x]
Finite Fields and their Applications 14(1), 142-158
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.1016/j.ffa.2007.10.002 - Vichian Laohakosol, Kantaphon Kuhapatanakul
Reciprocal sums of generalized second order recurrence sequences
Fibonacci Quarterly 46-47(4), 316-325
อ้างอิง 3 ครั้ง · DOI: 10.1080/00150517.2008.12428140
2007
- Vichian Laohakosol, W. Rungrottheera
Entire function solutions of a system of two recurrent step equations
Journal of Mathematical Analysis and Applications 335(1), 280-297
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1016/j.jmaa.2007.01.071 - Tuangrat Chaichana, Vichian Laohakosol
Independence of continued fractions in the field of Laurent series
Periodica Mathematica Hungarica 55(1), 35-59
อ้างอิง 5 ครั้ง · DOI: 10.1007/s10998-007-3035-3 - Vichian Laohakosol, Narakorn Rompurk Kanasri
A characterization of rational numbers by p-adic Sylvester series expansions
Acta Arithmetica 130(4), 389-402
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.4064/aa130-4-8
2006
- Vichian Laohakosol, Pattira Ruengsinsub, Nittiya Pabhapote
Ramanujan sums via generalized Möbius functions and applications
International Journal of Mathematics and Mathematical Sciences 2006, บทความ 60528
อ้างอิง 5 ครั้ง · Open Access · DOI: 10.1155/IJMMS/2006/60528 - Watcharapon Pimsert, Vichian Laohakosol, Sajee Pianskool
Cauchy’s functional equation in restricted complex domains
International Journal of Mathematics and Mathematical Sciences 2006, บทความ 69368
Open Access · DOI: 10.1155/IJMMS/2006/69368 - Vichian Laohakosol, Narakorn Rompurk
A characterization of rational elements by Lüroth-type series expansions in the p-adic number field and in the field of Laurent series over a finite field
Acta Arithmetica 122(2), 195-205
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4064/aa122-2-4 - Pakwan Riyapan, Vichian Laohakosol, Tuangrat Chaichana
Two types of explicit continued fractions
Periodica Mathematica Hungarica 52(2), 51-72
อ้างอิง 5 ครั้ง · DOI: 10.1007/s10998-006-0012-5 - Sui Sun Cheng, Sukrawan Talwong, Vichian Laohakosol
Exact solutions of iterative functional differential equations
Computing Vienna New York 76(1-2), 67-76
อ้างอิง 7 ครั้ง · DOI: 10.1007/s00607-005-0127-1
2005
- Vichian Laohakosol, Nittiya Pabhapote
Properties of rational arithmetic functions
International Journal of Mathematics and Mathematical Sciences 2005(24), 3997-4017
อ้างอิง 7 ครั้ง · Open Access · DOI: 10.1155/IJMMS.2005.3997 - Pattira Ruengsinsub, Vichian Laohakosol, Patanee Udomkavanich
Observations about algebraic dependence of Dirichlet series
Journal of the Korean Mathematical Society 42(4), 695-708
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4134/JKMS.2005.42.4.695
2004
- Vichian Laohakosol, Nittiya Pabhapote
Completely multiplicative functions arising from simple operations
International Journal of Mathematics and Mathematical Sciences 2004(9), 431-441
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1155/S0161171204304163 - Vichian Laohakosol, Nittiya Pabhapote
On Generalized Rearick Logarithm
Scienceasia 30(3), 289-292
Open Access · DOI: 10.2306/scienceasia1513-1874.2004.30.289 - Sukrawan Talwong, Vichian Laohakosol, Sui Sun Cheng
Power function solutions of iterative functional differential Equations
Applied Mathematics E Notes 4, 160-163
อ้างอิง 3 ครั้ง
2003
- Keng Wiboonton, Vichian Laohakosol, Ajchara Harnchoowong
Coefficients and Exponents of Power Series Representing Rational Functions
Scienceasia 29(2), 175-179
DOI: 10.2306/scienceasia1513-1874.2003.29.175
2002
- Suphawan Janphaisaeng, Vichian Laohakosol, Ajchara Harnchoowong
Some New Classes of Permutation Polynomials
Scienceasia 28(4), 401-405
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.2306/scienceasia1513-1874.2002.28.401 - Utsanee Leerawat, Vichian Laohakosol
A generalization of Liouville’s theorem on integration in finite terms
Journal of the Korean Mathematical Society 39(1), 13-30
Open Access · DOI: 10.4134/jkms.2002.39.1.013 - Vichian Laohakosol, Nittiya Pabhapote, Nalinee Wechwiriyakul
Characterizing completely multiplicative functions by generalized möbius functions
International Journal of Mathematics and Mathematical Sciences 29(11), 633-639
อ้างอิง 9 ครั้ง · Open Access · DOI: 10.1155/S0161171202012498
2001
- Vichian Laohakosol, Nittiya Pabhapote, Nalinee Wechwiriyakul
Arithmetic Functions and Operators
Scienceasia 27(3), 199-202
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.2306/scienceasia1513-1874.2001.27.199
2000
- Vichian Laohakosol, Kannika Kongsakorn, Patchara Ubolsri
Some Transcendental Elements in Positive Characteristic
Scienceasia 26(1), 39-48
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.2306/scienceasia1513-1874.2000.26.039
1998
- Vichian Laohakosol
A P-ADIC LOWER BOUND FOR POLYNOMIAL EVALUATED AT AN ALGEBRAIC NUMBER
Scienceasia 24(2), 129-132
Open Access · DOI: 10.2306/scienceasia1513-1874.1998.24.129 - Vichian Laohakosol
Bases for integer-valued polynomials in a Galois field
Acta Arithmetica 87(1), 13-26
อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4064/aa-87-1-13-26
1997
- Vichian Laohakosol
CHARACTERIZING DISCRETE EXPONENTIAL POLYNOMIALS BY CASORATI’S DETERMINANTS
Scienceasia 23(1), 35-40
Open Access · DOI: 10.2306/scienceasia1513-1874.1997.23.035
1992
- Vichian Laohakosol
Dependence of arithmetic functions and dirichlet series
Proceedings of the American Mathematical Society 115(3), 637-645
อ้างอิง 7 ครั้ง · Open Access · DOI: 10.1090/S0002-9939-1992-1100659-5
1990
- Vichian Laohakosol, Kannika Kongsakorn, Patchara Ubolsri
Coefficients of Differentially Algebraic Series
Journal of the Australian Mathematical Society 48(3), 402-412
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1017/S1446788700029955
1987
- Vichian Laohakosol, Patchara Ubolsri
P-adic continued fractions of liouville type
Proceedings of the American Mathematical Society 101(3), 403-410
อ้างอิง 15 ครั้ง · DOI: 10.1090/S0002-9939-1987-0908638-3
1985
- Vichian Laohakosol
An arithmetic property of the taylor coefficients of analytic functions with an application to transcendental numbers
Proceedings of the American Mathematical Society 93(2), 212-214
อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1090/S0002-9939-1985-0770521-2 - Vichian Laohakosol
A characterization of rational numbers by p-adic ruban continued fractions
Journal of the Australian Mathematical Society 39(3), 300-305
อ้างอิง 33 ครั้ง · Open Access · DOI: 10.1017/S1446788700026070 - Vichian Laohakosol, Patchara Ubolsri
Some algebraically independent continued fractions
Proceedings of the American Mathematical Society 95(2), 169-173
อ้างอิง 3 ครั้ง · DOI: 10.1090/S0002-9939-1985-0801317-0
1984
- Vichian Laohakosol, Wanlop Surakampontorn
p-adic transforms
Electronics Letters 20(18), 726-727
อ้างอิง 1 ครั้ง · DOI: 10.1049/el:19840497
1981
- Vichian Laohakosol, Jane Pitman
Applications of p-adic interpolation to exponential polynomials and sums of powers
Journal of the Australian Mathematical Society 30(4), 419-437
อ้างอิง 2 ครั้ง · Open Access · DOI: 10.1017/S1446788700017900