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ON A PROBLEM RELATED TO GOLOMB'S CONJECTURES 被引量：3

ON A PROBLEM RELATED TO GOLOMB'S CONJECTURES
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摘要 The main purpose of this paper is to study a problem related to Golomb's conjectures,and give an interesting asymptotic formula. The main purpose of this paper is to study a problem related to Golomb's conjectures, and give an interesting asymptotic formula.
作者 ZHANG Wenpeng(Research Center for Basic Science, Xi’an Jiaotong University, Xi’an 710049, China)
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第1期13-18,共6页 系统科学与复杂性学报（英文版）
基金 This research is supported by the National Natural Science Foundation and P.N.S.F.of China.
关键词 有限域 渐近公式 元根 GOLOMB猜想 证明 素数根 Primitive roots, golomb's conjecture, asymptotic formula.
分类号 O156 [理学—基础数学]
  • 相关文献

参考文献5

  • 1S. Golomb, On the algebraic construction for Constas arrays, Journal of Combinatoial Theory(Ser.A.), 1984, 37: 13-21.
  • 2Juping Wang, On Golomb's conjecture, Science in China (Ser. A.), 1987, 9: 927-935.
  • 3Wladyslaw Narkiewicz, Classical Problems in Number Theory, PWN-Polish Scientific Publishers,Warszawa, 1987, 79-80.
  • 4Wenpeng Zhang, Golomb's Conjectures and related problems, Chinese Science Bulletin, 1995, 40:705-709.
  • 5Tom M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.

同被引文献11

  • 1田甜,戚文峰.有限域上互反本原正规元的存在性[J].数学学报（中文版）,2006,49(3):657-668. 被引量：9
  • 2SANDER J M. On the addition of units and nonunit rood m [ J ]. Journal of Number Theory, 2009, 129 : 2260-2266.
  • 3YANG Q H, TANG M. On the addition of squares of units and nonunits modulo n [ J ]. Journal of Number Theory ,2015,155:1-12.
  • 4GOLOMB S. On the algebraic construction for Constas arrays [ J ]. Journal of Combinatoial Theory ( Ser. A. ), 1984,37:13-21.
  • 5WANG Ju-ping. On Golomb's conjecture[ J ]. Science in China ( Ser. A. ) , 1987,9:927-935.
  • 6COHEN S D, ZHANG Wen-peng. Sums of two exact powers [ J ]. Finite Fiels and Their Applications, 2002, 8:471-477.
  • 7COHEN S D, MULLEN G L. Primitive elements in Costas arrays [ J ]. Applicalde Algebra in Engineering Communication and Computing, 1991, 2: 45-53; (Corrections) , 1992,2 : 297-299.
  • 8APOSTOL T M. Introduction to Analytic Number The- ory [ M ]. New York : Springer-Verlag, 1976.
  • 9张文鹏,李海龙.初等数论[M].两安:陕西师范大学出版社,2008.
  • 10CHOWLA S, COWLES J, COWLES M. On the num- ber of zeros of diagonal cubit, forms [ J ]. Journal of Number Theory, 1977,9:502-506.

引证文献3

二级引证文献6

Journal of Systems Science & Complexity
2003年 第1期

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