一类同余方程解数的上界估计

The Estimation of an Upper Bound for the Number of Solution of a Kind of Congruences

kloosterman和是现代解析数论研究的重要工具，而同余方程对kloosterman和的研究起着重要的作用．2014年Bourgain和Garaev通过研究同余方程给出了一类部分kloosterman和的上界估计．主要研究一类特殊同余方程，给出其解数的上界估计，结果推广了Bourgain和Garaev的部分结果．

Kloosterman sums is an very important tool in the study of modern analytical number theory, and congruence plays a key role in the study of Kloosterman sums. In 2014, by using congruences, Bourgain and Garaev showed an upper bound of a class of incomplete Kloosterman sums. In this paper, we study some special kind of congruences, and give an upper bound for the number of solution, which extends partial results of Bourgain and Garaev.