ON THE ADDITION OF VALUES OF A QUADRATIC POLYNOMIAL AT UNITS MODULO n

被引：0

作者：

Xiong, R. ^{[1
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2021年 / 163卷 / 01期

关键词：

residue class; quadratic Gauss sum; Ramanujan sum; SQUARES;

D O I：

10.1007/s10474-020-01067-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Z(n) be the ring of residue classes modulo n, Z(n)* be its unit group, and let f(z) = az(2) + bz be an integral quadratic polynomial with b not equal 0 and gcd(a, b) = 1. In this paper, for any integer c and positive integer n we give a formula for the number of solutions of the congruence equation f(x) + f(y) equivalent to c (mod n) with x, y units (mod n). This partly solves a problem posed by Yang and Tang in [11].

引用

页码：62 / 70

页数：9

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