Representations by certain octonary quadratic forms with coefficients 1, 3 or 9

被引：2

作者：

Alaca, Ayse ^{[1
]}

机构：

[1] Carleton Univ, Sch Math & Stat, Ctr Res Algebra & Number Theory, Ottawa, ON K1S 5B6, Canada

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2014年 / 10卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Octonary quadratic forms; representations; theta functions; Dedekind eta function; eta quotients; eta products; Eisenstein series; Eisenstein forms; modular forms; cusp forms;

D O I：

10.1142/S179304211450033X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using modular forms we determine the number of representations of a positive integer by certain diagonal octonary quadratic forms with coefficients 1, 3 or 9.

引用

页码：1365 / 1384

页数：20

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