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

被引：1

作者：

Alaca, Ayse ^{[1
]}

Kesicioglu, M. Nesibe ^{[2
]}

机构：

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

[2] Recep Tayyip Erdogan Univ, Dept Math, TR-53100 Rize, Turkey

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 08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; modular forms; Eisenstein series; Eisenstein forms; cusp forms;

D O I：

10.1142/S1793042115501080

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 diagonal octonary quadratic forms with coefficients 1, 3 or 9.

引用

页码：2353 / 2368

页数：16

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