สาขาวิชาที่สนใจ Number Theory, Classical Analysis
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[1] V. Laohakosol and P. Ubolsri, A short note on integral-valued polynomials, Southeast Asian Bull. Math. 4(1980),43-47.
[2] V. Laohakosol, A counter-example to Schmidt’s conjecture, Southeast Asian Bull. Math. 4(1980),48-49.
[3] V. Laohakosol, On Newton’s method in complete fields, Kyungpook Math. J. 20(1980),91-93.
[4] V. Laohakosol and Jane Pitman, Applications of p-adic interpolation to exponential polynomials and sums of powers, J. Austral. Math. Soc. Ser. A 30(1981),419-437.
[5] V. Laohakosol, Certain functions associated with polynomials and some number theoretic applications, Bull. Inst. Math. Acad. Sinica 11(1983),625-632.
[6] V. Laohakosol, A modified proof of transcendence of the p-adic exponential function, Southeast Asian Bull. Math. 8(1984),5-9.
[7] V. Laohakosol and R. Roenrom, A remark on a result of L. Kuipers, Southeast Asian Bull. Math. 8(1984),22-23.
[8] V. Laohakosol andW. Surakampontorn, p-adic transforms, Electronics Lett. 20(1984),726-727.
[9] V. Laohakosol, An arithmetic property of the Taylor coefficients of analytic functions with and application to transcendental numbers, Proc. Amer. Math. Soc. 93(1985),212-214.
[10] V. Laohakosol, A characterization of rational numbers by p-adic Ruban continued fractions, J. Austral. Math. Soc. Ser. A 39(1985),300-305.
[11] V. Laohakosol and N. Roenrom, A third order analog of a result of L. Carlitz, Fibonacci Quart. 23(1985),194-198.
[12] V. Laohakosol and P. Ubolsri, Some algebraically independent continued fractions, Proc. Amer. Math. Soc. 95(1985),169-173.
[13] V. Laohakosol and S. Tantikul, Reciprocal sums of differences of zeros of entire functions satisfying linear differential equations, Southeast Asian Bull. Math. 9(1985),72-76.
[14] K. Kongsakorn and V. Laohakosol, A generalization of Eisenstein’s theorem, Bull. Inst. Math. Acad. Sinica 14(1986),149-162.
[15] V. Laohakosol and P. Ubolsri, Continued fractions representing transcendental numbers, Bull. Malaysian Math. Soc. 9(1986),1-21.
[16] V. Laohakosol, A p-adic upper bound for the coefficients of a power series satisfying an algebraic differential equation, J. Natl. Res. Council Thailand 18(2)(1986),1-16.
[17] K. Kongsakorn and V. Laohakosol, Power series solutions of linear differential equations with polynomial coefficients, Southeast Asian Bull. Math. 11(1987),13-17.
[18] V. Laohakosol and P. Ubolsri, Inequalities related to generalized means, Tamkang J. Math. 18(1987),53-58.
[19] V. Laohakosol and P. Ubolsri, p-adic continued fractions of Liouville type, Proc. Amer.Math.Soc.101(1987),403-410.
[20] V. Laohakosol, J.H. Loxton and A.J. van der Poorten, Integer-valued p-adic function, Colloq. Math. Soc. Janos Bolyai 51(1987),829-849.
[21] W. Surakampontorn and V. Laohakosol, Convolution by p-adic transforms, J. Natl. Res. Council Thailand 19(2)(1987),33-46.
[22] V. Laohakosol, K. Kongsakorn and R. Arunbanjerdkul, Newton’s series, factorial series and partial sums as solutions of linear difference equations, Bull. Inst. Math. Acad. Sinica 16(1988),83-91.
[23] V. Laohakosol and U. Leerawat, Inequalities related to power sums, Soochow J. Math. 14(1988),93-104.
[24] V. Laohakosol, K. Kongsakorn and U. Leerawat, Difference-algebraic functions and differencecoherent families, Proc. 4th Franco-SEAMS Conf. Math. Methods, Vol. II, Chiang Mai, May 1988, 22 pp.
[25] V. Laohakosol, Some extensions of the Skolem-Mahler-Lech theorem, Expo. Math. 7(1989),137-157.
[26] V. Laohakosol, K. Kongsakorn and U. Leerawat, Some arithmetic functions algebraically independent with respect to convolution, Soochow J. Math. 15(1989)171-178.
[27] V. Laohakosol, K. Kongsakorn and U. Leerawat, Algebraic independence test of arithmetic functions using Jacobians, J. Sci. Soc. Thailand 15(1989),133-138.
[28] V. Laohakosol, K. Kongsakorn and P. Ubolsri, Denominators in the coefficients of power series satisfying linear differential equations, J. Korean Math. Soc. 26(1989),167-173.
[29] V. Laohakosol, Dependence of arithmetic functions and differential transcendence of Dirichlet series, Intern. Centre of Theoretical Physics, IC/89/181, Miramare-Trieste, 1989, 24 pp.
[30] V. Laohakosol, K. Kongsakorn and P. Ubolsri, Coefficients of differentially algebraic series, J. Austral Math. Soc. Ser. A 42(1990),402-412.
[31] V. Laohakosol, Eisenstein’s theorem and arithmetic properties of power series, J. Natl. Res. Council Thailand 22(2)(1990),1-13.
[32] V. Laohakosol, Approximation of exponentials in the p-adic domain, Kasetsart J. (Nat. Sci.) 25(1991),484-488.
[33] Jean-paul Bezivin and V. Laohakosol, On the theorem of Skolem-Mahler-Lech, Expo. Math. 9(1991),89-96.
[34] V. Laohakosol, K. Kongsakorn and P. Ubolsri, Power series of Eisenstein-Hurwitz-Carlitz type, Bull. Inst. Math. Acad. Sinica 20(3)(1992),195-210.
[35] V. Laohakosol, Dependence of arithmetic functions and Dirichlet series, Proc. Amer. Math. Soc. 115(1992),637-645.
[36] U. Leerawat and V. Laohakosol, Symbolic integration for line integrals II, Kasetsart J. (Nat. Sci.) 27(1993),376-381.
[37] V. Laohakosol, Characterizing discrete exponential polynomials by Casorati’s determinants, J. Sci. Soc. Thailand 23(1997),35-40.
[38] V. Laohakosol, Divisors of some arithmetic functions, Proc. 2nd Asian Math. Conf., Suranaree Univ., Nakorn Ratchsima, Thailand, Oct. 1995, World Scientific, Singapore 1998, pp.139-151.
[39] V. Laohakosol, A p-adic lower bound for polynomial evaluated at an algebraic number, J. Sci. Soc. Thailand 24(1998),129-132.
[40] V. Laohakosol, Bases for integer-valued polynomials in a Galois field, Acta Arith. LXXXXVII.1(1998),13-26.
[41] V. Laohakosol and K. Kongsakorn, Multiply integer-valued polynomials in a Galois field, Bull. Malaysian Math. Soc. (2nd ser.) 22(1999),45-52.
[42] V. Laohakosol, K.Kongsakorn and P. Ubolsri, Some transcendental elements in positive haracteristic, Science Asia 26(2000)39-48.
[43] V. Laohakosol, N. Sukvaree and M. Maiya, Denominators of algebraic numbers, Kasetsart J. (Nat. Sci.) 34(3)(2000),431-437.
[44] V. Laohakosol, N. Pabhapote and N. Wechwiriyakul, Arithmetic functions and operators, Science Asia 27(2001),199-202.
[45] V. Laohakosol, N. Pabhapote and N. Wechwiriyakul, Logarithmic operators and characterizations of completely multiplicative functions, Southeast Asian Bull. Math. 25(2001),273-281.
[46] P. Ruangsinsap, V. Laohakosol and P. Udomkavanich, Arithmetic functions over rings with zero divisors, Bull. Malaysian Math. Sc. Soc. 24(2001),81-91.
[47] P. Ubolsri, V. Laohakosol and K. Kongsakorn, Bessel function in Galois fields, Kasetsart J. (Nat. Sci.) 35(1)(2001),110-113.
[48] P. Kuhapatanakul and V. Laohakosol, Irrationality of some series with rational terms, Kasetsart J. (Nat. Sci.) 35(2)(2001),205-209.
[49] C. Chuntra and V. Laohakosol, Some estimates involving density of algebraic numbers and integer polynomials, Kasetsart J. (Nat. Sci.) 35(2)(2001),210-223.
[50] U. Leerawat and V. Laohakosol, A generalization of Liouville’s theorem on integration in finite terms, J. Korean Math. Soc. 39(2002),13-30.
[51] V. Laohakosol, N. Pabhapote and N. Wechwiriyakul, Characterizing completely multiplicative functions by generalized Mobius functions, Int. J. Math. Math. Sci. 29(2002),633-639.
[52] V. Laohakosol and A. Sripayap, Remarks on k-fold integer-valued polynomials, Bull. Korean Math. Soc. 39(2002),165-174.
[53] S. Janphaisaeng, V. Laohakosol and A. Harnchoowing, Some new classes of permutation polynomials, Science Asia 28(4)(2002),401-405.
[54] T. Chaichana, V. Laohakosol and A. Harnchoowong, Ruban continued fraction in fields of positive characteristic, Proc. Inter. Conf. Algebra Appl., Chulalongkorn Univ., Bangkok, March 18-22, 2002, pp. 143-148.
[55] M. Yodphotong and V. Laohakosol, Proofs of Zaremba’s conjecture for powers of 6, Proc. Inter. Conf. Algebra Appl., Chulalongkorn Univ., Bangkok, March 18-22, 2002, pp. 278-282.
[56] K. Wiboonton, V. Laohakosol and A. Harnchoowong, Coefficients and exponents of power series representing rational functions, Science Asia 29(2003),175-179.
[57] P. Ruengsinsub and V. Laohakosol, Factorizing arithmetic functions, Int. J. Pure Appl. Math. 9(2)(2003),237-251.
[58] V. Laohakosol and B. Yuttanan, Periodicity of integer sequences, Thai J. Math. 1(2003),37-48.
[59] V. Laohakosol and N. Pabhapote, Completely multiplicative functions arising from simple operations, Int. J. Math. Math. Sci. 9(11)(2004),431-441.
[60] W. Narkiewicz, P. Ruengsinsub and V. Laohakosol, An addendum to the paper ” Arithmetic functions over rings with zero divisors”, Bull. Malaysian Math. Sc. Soc. 27(2004),87-90.
[61] V. Laohakosol and J. Chalermchai, Representing natural numbers as unique sums of positive integers, J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 11(1)(2004),63-72.
[62] S. Talwong , V. Laohakosol and S.S. Cheng, Power function solutions of iterative functional differential equations, Appl. Math. E-Notes 4(2004), 160-163.
[63] V. Laohakosol and N. Pabhapote, On generalized Rearick logarithm, Science Asia 30(2004),289-292.
[64] V. Laohakosol, T. Chaichana and Y. Yodphothong, An estimate on the number of rationals whose partial quotients are bounded, Contribution in General Algebra (NCAM 2003-2004), pp. 41-43, ed. By N.V. Sanh and N. Pabhapote. A special volume published by East-West J.Math., Bangkok, 2004.
[65] V. Laohakosol, B. Srihirun and S. Tanai-adchawooit, Non-Liouvillian solutions of some transcendental equations, Contribution in General Algebra (NCAM 2003-2004), pp. 45-50, ed. By N.V. Sanh and N. Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
[66] V. Laohakosol and W. Rungrottheera, Recurrent step equations with constant coefficients, Contribution in General Algebra (NCAM 2003-2004), pp. 51-60, ed. By N.V. Sanh and N. Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
[67] O. Phuksuwan, P. Udomkavanich and V. Laohakosol, An analysis of Ritt’s factorization for exponential sums, Contribution in General Algebra (NCAM 2003-2004), pp. 61-72, ed. By N.V. Sanh and N. Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
[68] S. Talwong and V. Laohakosol, Iterative equations with linear monomial solutions, Contribution in General Algebra (NCAM 2003-2004), pp. 119-125, ed. By N.V. Sanh and N. Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
[69] P. Ruengsinsub, V. Laohakosol and P. Udomkavanich, Observations about algebraic dependence of Dirichlet series, J. Korean Math. Soc. 42(2005),695-708.
[70] Amarisa Chantanasiri and Vichian Laohakosol, Reducibility of four term polynomials, Int. J. Pure Appl. Math. 23(2)(2005),179-194.
[71] V. Laohakosol and N. Pabhapote, Properties of rational arithmetic functions, Int. J. Math. Math. Sci. 2005:24(2005),3997-4017.
[72] N. Pabhapote, V. Laohakosol and P. Ruengsinsub, Two aspects of generalized M¨obius functions: Landau, Brauer-Radamacher identities and dependence, Int. J. Pure Appl. Math. 25(2)(2005),225-243.
[73] S. Tadee and V. Laohakosol, Complementary sets and Beatty functions, Thai J. Math. 3(1)(2005),27-33.
[74] T. Chaichana and V. Laohakosol, Linear independence of continued fractions in the field of formal series over a finite field, Proceedings of the International Conference in Mathematics and Applications (ICMA-MU 2005), 15-17 December 2005, Bangkok, Thailand, pp. 175-184.
[75] V. Laohakosol, P. Riyapan and T. Chichana, Explicit construction of continued fractions whose partial denominators consist of two copies of an arithmetic progression, Proceedings of the International Conference in Mathematics and Applications (ICMA-MU 2005), 15-17 December 2005, Bangkok, Thailand, pp. 267-278.
[76] V. Laohakosol and N. Rompurk, Series and product expansions for elements in the field of formal series over a finite field, Proceedings of the International Conference in Mathematics and Applications (ICMA-MU 2005), 15-17 December 2005, Bangkok, Thailand, pp. 279-297.
[77] V. Laohakosol and W. Rungrottheera, Entire solutions of two recurrent step equations, one with constant and the other with exponential polynomial coefficients, Proceedings of the International Conference in Mathematics and Applications (ICMA-MU 2005), 15-17 December 2005, Bangkok, Thailand, pp. 299-321.
[78] Sui Sun Cheng, Sukrawan Talwong and Vichian Laohakosol, Exact solutions of iterative functional differential equations, Computing 76(2006),67-76.
[79] Vichian Laohakosol and Narakorn Rompurk, A characterization of rational elements by L¨uroth type series expansions in the p-adic number field and in the field of Laurent series over a finite field, Acta Arith. 122(2006),195-205.
[80] Pakwan Riyapan, Vichian Laohakosol and Tuangrat Chaichana, Two types of explicit continued fractions, Period. Math. Hungar. 52(2)(2006),51-72.
[81] Watcharapon Pimsert, Vichian Laohakosol and Sajee Pianskool, Cauchy’s functional equation in restricted complex domains, Int. J. Math. Math. Sci. 2006(2006), Article ID 69368, 12 pages.
[82] V. Laohakosol, N. Rompurk and A. Harnchoowong, Characterizing rational elements using Knopfmachers’ expansions in function fields, Thai J. Math.
[83] T. Chaichana, V. Laohakosol and A. Harnchoowong, Linear independence of continued fractions in the field of formal series over a finite field, Thai J. Math.
[84] V. Laohakosol, P. Ruengsinsub and N. Pabhapote, Ramanujan sums via generalized M¨obius functions and applications, Int. J. Math. Math. Sci. 30 October 2006
