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
收藏
页码：2353 / 2368
页数：16
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