On the representation of integers as sums of an odd number of squares

被引：5

作者：

Gun, Sanoli ^{[1
]}

Ramakrishnan, B. ^{[1
]}

机构：

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

来源：

RAMANUJAN JOURNAL | 2008年 / 15卷 / 03期

关键词：

representations; sums of squares; Shimura correspondence;

D O I：

10.1007/s11139-007-9082-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a recent work, S. Cooper (J. Number Theory 103:135-162, [1988]) conjectured a formula for r(2k+1)(p(2)), the number of ways p(2) can be expressed as a sum of 2k+1 squares. Inspired by this conjecture, we obtain an explicit formula for r(2k+1)(n(2)), n >= N1.

引用

页码：367 / 376

页数：10

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