Representations of an Integer by Some Quaternary and Octonary Quadratic Forms

被引：2

作者：

Ramakrishnan, B. ^{[1
]}

Sahu, Brundaban ^{[2
,3
]}

Singh, Anup Kumar ^{[1
]}

机构：

[1] Harish Chandra Res Inst, HBNI, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

[2] Natl Inst Sci Educ & Res, Sch Math Sci, Bhubaneswar, Odisha, India

[3] HBNI, Via Jatni, Khurja 752050, Odisha, India

来源：

GEOMETRY, ALGEBRA, NUMBER THEORY, AND THEIR INFORMATION TECHNOLOGY APPLICATIONS | 2018年 / 251卷

关键词：

Quaternary quadratic forms; Octonary quadratic forms; Modular forms of one variable; Classical theta function; Convolution sums of the divisor functions; CONVOLUTION SUMS; NUMBER;

D O I：

10.1007/978-3-319-97379-1_17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider certain quaternary quadratic forms and octonary quadratic forms, and by using the theory of modular forms, we find formulae for the number of representations of a positive integer by these quadratic forms.

引用

页码：383 / 409

页数：27

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