Zhenxiang
ZHANG: Professor
Emeritus
Photo
中文版 (Chinese Edition)
Research interests: Computational number theory, integer factorization, primality testing, algorithms, complexity, computer aided researches
CHALLENGE 1: $50 for a
disproof of the Conjectures on ψm for either m(14 ≤m ≤20)
CHALLENGE 2: $500 for a Williams number made up from 1029 primes
Representative papers in the current century: Citations
[Zhang 2015] Estimating the counts of Carmichael and Williams numbers with small multiple seeds, Mathematics of Computation, 84:291 (2015), 309-337. ABSTRACT ABSTRACT Expanded
[Zhang
2011] Counting Carmichael numbers with small seeds,
Mathematics
of Computation, 80:273 (2011), 437-442. ABSTRACT
[Zhang 2010] On the
effectiveness of a generalization of Miller's primality
theorem, Journal of Complexity, 26:2
(2010), 200-208. ABSTRACT
[Zhang 2007] Two kinds of strong pseudoprimes up to 1036, Mathematics of Computation, 76:260 (2007), 2095-2107. ABSTRACT
[Zhang 2006] Notes on some new kinds of pseudoprimes, Mathematics of Computation, 75:253 (2006), 451-460. ABSTRACT
[Zhang 2005] Finding C3 -strong pseudoprimes, Mathematics of Computation, 74:250 (2005), 1009-1024. ABSTRACT
[Zhang and Tang 2003] (with Min Tang) Finding strong pseudoprimes to several bases. II, Mathematics of Computation, 72:244 (2003), 2085-2097. ABSTRACT
[Zhang 2002] A one-parameter quadratic-base version of the Baillie-PSW probable prime test, Mathematics of Computation,71:240 (2002), 1699-1734. ABSTRACT
[Zhang 2001a] Finding strong pseudoprimes to several bases, Mathematics of Computation, 70:234 (2001), 863-872. ABSTRACT
Preparative representative papers in the
current century:
[Zhang 2001b] Using Lucas sequences
to factor large integers near group orders, The
Fibonacci Quarterly (ISSN: 0015-0517), 39:3 (2001), 228-237.
Email 1: ahnu_zzx@sina.com Email 2: zhangzhenxiang@tsinghua.org.cn URL: http://math-zhangzhx.ahnu.edu.cn/zzx.htm
Education:
Bachelor, 1970, Tsinghua University, China
Master, 1981, Anhui Normal University, China
Ph. D., 1993, University of Limoges, France. Directeur: Guy ROBIN
Links to Number Theory Web, The Prime Pages
Last modified 2024-10-18