Distribution of special sequences modulo a large prime

Author:

Garaev M. Z.1,Kueh Ka-Lam1

Affiliation:

1. Institute of Mathematics, Academia Sinica, Taipei, Nankang 11529, Taiwan

Abstract

We study the sets{gxgy(modp):1x,yN}and{xy:1x,yN}wherepis a large prime number,gis a primitive root, andp2/3<N<p.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Anatolii Alekseevich Karatsuba’s Works Written in the 1990s and 2000s;Proceedings of the Steklov Institute of Mathematics;2017-11

2. ALMOST ALL PRIMES HAVE A MULTIPLE OF SMALL HAMMING WEIGHT;Bulletin of the Australian Mathematical Society;2016-05-23

3. Graphs generated by Sidon sets and algebraic equations over finite fields;Journal of Combinatorial Theory, Series B;2013-11

4. An additive problem in finite fields with powers of elements of large multiplicative order;Revista Matemática Complutense;2013-09-20

5. Modular hyperbolas;Japanese Journal of Mathematics;2012-11

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