THE REPRESENTATION NUMBERS OF THREE OCTONARY QUADRATIC FORMS

被引：13

作者：

Kokluce, Bulent ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, Fac Arts & Sci, Istanbul, Turkey

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 02期

关键词：

Quadratic forms; Eisenstein series; sum of divisors functions; convolution sums; representation numbers;

D O I：

10.1142/S1793042112501461

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study we use some known convolution sums to find the representation number for each of the three octonary quadratic forms x(1)(2) + x(2)(2) + x(3)(2) + x(4)(2) + 6x(5)(2) + 6x(6)(2) + 6x(7)(2) + 6x(8)(2), 2x(1)(2) + 2x(2)(2) + 2x(3)(2) + 2x(4)(2) + 3x(5)(2) + 3x(6)(2) + 3x(7)(2) + 3x(8)(2) and x(1)(2) + x(2)(2) + x(3)(2) + x(4)(2) + 3x(5)(2) + 3x(6)(2) + 3x(7)(2) + 3x(8)(2).

引用

页码：505 / 516

页数：12

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