Double exponential sums with exponential functions

被引：3

作者：

Shparlinski, Igor E. ^{[1
]}

Yau, Kam Hung ^{[1
]}

机构：

[1] Univ New South Wales, Dept Pure Math, Sydney, NSW 2052, Australia

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 10期

基金：

澳大利亚研究理事会;

关键词：

Exponential sums; exponential function; cancellation; solutions to congruences in small boxes; CHARACTER SUMS; F-P; RESIDUES; SUBGROUPS; GAPS;

D O I：

10.1142/S179304211750141X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain several estimates for double rational exponential sums modulo a prime p with products ng(m) where both n and m run through short intervals and g is fixed integer. We also obtain some new estimates for the number of points on exponential modular curves ag(m) = n ( mod p) and similar.

引用

页码：2531 / 2543

页数：13

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