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經歷

• Professor Department of Mathematical Sciences, National Chengchi University 2009/8
• Deputy Director Institute of Mathematics, Academia Sinica 2009/4 -2011/3
• Director Mathematical Research Promotion Center 2005 - 2007
• Director Mathematical Research Promotion Center 2005 - 2007
• Deputy Director Institute of Mathematics, Academia Sinica 2000/8 - 2004/12
• Supervisor the mathematics library, Academia Sinica 1999 - 2000
• Research Fellow 1999
• Associate Research Fellow 1990 - 1999
• Instructor Chinese Culture University 1978 - 1984

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研究簡介

周文賢從輔仁大學數學系和數學研究所 分別獲得學士和碩士學位, 服完兵役後,在國內 教了六年的書, 由於自覺有所不足, 於一九八四年 赴美進修, 先在南伊大唸了兩年, 其後轉學至賓州 州立大學。並在那裡得到博士學位。於一九九０年 六月到本所服務, 現為研究員。其主要領域為 有限體理論及其在各方面的應用。

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部分著作目錄

1. (with A. Blokhuis, X. Cao and X.-D. Hou) "On the Roots of Certain Dickson Polynomials" , J. Number Theory , 186, 229-246, 2018-07.
2. (with Tian-Xiao He and Peter J.-S. Shiue) "On the Primality of the Generalized Fuss-Catalan Numbers" , J. Integer Sequences , 21, 18.2.1-, 2018.
3. (with X. Cao and X. Zhang) "More constructions of near optimal codebooks associated with binary sequences" , Advances in Mathematics of Communications , 11 (1), 187-202, 2017-02.
4. (with X. Cao, J. Gu) "On the number of solutions of certain diagonal equations over finite fields" , FINITE FIELDS AND THEIR APPLICATIONS , 42, 225-252, 2016.
5. (with Cao X.) "More Constructions of Approximately Mutually Unbiased Bases" , Bulletin of the Australian Mathematical Society , 93, 211-222, 2016.
6. (with Hsu L. C.) "An Extension of Fleck-type M$\ddot{\mbox{o}}$bius Function and Inversion" , International Journal Of Number Theory , 11 (6), 1807-1819, 2015.
7. (with He T.-X., Shiue P. J.-S.) "Enumeration problems for a linear congruence equation" , Taiwanese Journal of Mathematics , 18 (1), 265-275, 2014-02.
8. (with He T.-X.) "On the construction of number sequence identities" , J. Concrete and Appl. Math. , 11, 277-291, 2013.
9. (with J. Gomez-Calderon, G. L. Mullen, D. Panario, D. Thomson) "Subfield value sets of polynomials over finite fields" , Functiones et Approximatio Commentarii Mathematici , 48 (1), 147-165, 2013.
10. (with G.L. Mullen! B. Wassermann) "On the number of solutions of equations of Dickson polynomials over finite fields, NSC94-2115-M-001-019" , Taiwanese Journal of Mathematics , 12, 917-931, 2008.
11. (with B.-S. Du ! P.J.-S.Shiue) "A note on circulant transition matrices in Markov chains, NSC94-2115-M-001-019" , Linear Algebra and Its Applications , 429, 1699-1704, 2008.
12. (with L.C.Hsu!P.J.-S.Shiue) "On a class of combinatorial sums involving generalized factorials, doi:10.1155/2007/12604" , Int. J. Math. & Math. Sciences , 2007.
13. (with P. J.-S. Shiue) "Periodic aspects of sequences generated by two special mappings" , Taiwanese J. Math. , 10 (4), 829-836, 2006.
14. (with L. C. Hsu ! P. J.-S. Shiue) "Application of Faa di Bruno's formula in characterization of inverse relations" , J. Comput. Applied Math , 190, 151-169, 2006.
15. (with Y. Chang and P. J.-S. Shiue) "On the number of primitive polynomials over finite fields" , Finite Fields & Their Appls. , 11, 156-163, 2005.
16. (with I. E. Shparlinski) "On the cycle structure of repeated exponentiation modulo a prime. NSC92-2115-M-001-026" , J. Number Theory , 107, 345-356, 2004.
17. (with T. C. Brown and P. J.-S. Shiue) "On the partition function of a finite set" , Australasian J. Comb. , 27, 193-204, 2003.
18. (with H. Niederreiter) "Monomials and binomials over finite fields as $\scr R$-orthomorphisms. NSC88-2115-M-001-002" , Publ. Math. Debcreen , 61, 511-521, 2002.
19. (with S. D. Cohen) "Primitive elements with zero traces. NSC88-2115-M-001-002" , Finite Field & Their Appls. , 7, 125-141, 2001.
20. (with P. J.-S. Shiue) "crossings on the 2-D torus" , ARS Combinatorica , 54, 29-31, 2000.
21. (with S. D. Cohen) "Polynomial distribution and sequences of irreducible polynomoials over finite finite fields" , J. Number Theory , 75, 145-159, 1999.
22. (with J.-M. Ku and P. J.-S. Shiue) "On crossings of hyperplanes on the n-D torus" , J. Algebra , 192, 43-54, 1997.
23. "The factorization of Dickson polynomials over finite fields" , Finite Fields & Their Appls. , 3, 84-96, 1997.
24. (with H. Niederreiter) "On the lattice test for inversive congruential pseudorandom numbers, Monte Carlo & Quasi-Monte Carlo Methods in Scientific Computing (Las Vegas, 1994), Lecture Notes in Statistics, vol.~106, pp.~186--197, Springer-Verlag, New York, 1995" , 1995.
25. "The period lengths of inversive congruential recursions" , Acta Arith. , 73, 325-341, 1995.
26. "On inversive maximal period polynomials over finite fields" , Applicable Algebra in Engrg. Comm. Comp. , 6, 245-250, 1995.
27. "The period lengths of inversive pseudorandom vector generations" , Finite Fields & Their Appls. , 1, 126-132, 1995.
28. (with Y. Manoussakis, O. Megalakaki, M. Spylatos, and Zs. Tuza) "Paths through fixed vertices in edge-colored graphs" , Math. Inf. Sci. Hum. , 49-58, 1994.
29. (with P. J.-S. Shiue) "A note on circular permutations" , J. Comb. Math. Combl. Comp. , 16, 165-170, 1994.
30. "Set-complete mappings on finite fields, Finite Fields, Coding Theory, and Advances in Communications and Computing (Las Vegas, 1991), Lecture Notes in Pure and Appl. Math., vol. 141, pp. 33--41, Dekker, New York, 1993." , 1993.
31. (with G. L. Mullen) "Generating linear spans over finite fields" , Acta Arith. , 61, 183-191, 1992.
32. "Formulas for counting chains in multisets" , Utilitas Math. , 40, 3-12, 1991.
33. (with H. Bowman and P. J.-S. Shiue) "A matrix method for solving the postage stamps problem" , Missouri J. Math. Sciences , 2, 70-76, 1991.
34. "Permutation Polynomials on Finite Fields and Combinatorial Applications" , Ph.D. thesis, Penn. State University , 1990.
35. (with G. L. Mullen, P. J.-S. Shiue, and Q. Sun) "Pairs of primitive elements modulo $p^l$" , J. Sichuan Univ. Natural Science , 26, 189-195, 1989.
36. (with J. Gomez-Calderon and G. L. Mullen) "Value sets of Dickson polynomials over finite fields" , J. Number Theory , 30, 334-344, 1988.
37. "Binomial permutations of finite fields" , Bull. Austral. Math. Soc. , 38, 325-327, 1988.