REPRESENTATION NUMBERS OF TWO OCTONARY QUADRATIC FORMS

被引：3

作者：

Kokluce, Bulent ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 07期

关键词：

Quadratic forms; sum of divisors functions; convolution sums; representation numbers; SUMS;

D O I：

10.1142/S1793042113500486

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N (a(1), ... , a(4); n) denote the number of representations of an integer n by the form a(1)(x(1)(2) + x(1)x(2) + x(2)(2))+ a(2)(x(3)(2) + x(3)x(4) + x(4)(2))+ a(3)(x(5)(2) + x(5)x(6) + x(6)(2))+ a(4)(x(7)(2) + x(7)x(8) + x(8)(2)). In this paper we derive formulae for N(1, 1, 1, 2; n) and N(1, 2, 2, 2; n). These formulae are given in terms of sigma(3)(n).

引用

页码：1641 / 1648

页数：8

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