Congruences for the partition function in certain arithmetic progressions

被引：0

作者：

Urroz, JJ ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain

来源：

DISCRETE MATHEMATICS | 2000年 / 211卷 / 1-3期

关键词：

modular forms; partition function;

D O I：

10.1016/S0012-365X(99)00160-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The partition function P(n) satisfy some congruence properties. Eichhorn and Ono prove the existence of an effective constant C(m,r) ( where m,r epsilon N have some restrictions), such that if p(mn + r) drop 0(mod m) for n less than or equal to C(m,r), then the congruence holds for every non-negative integer n. In this paper we improve the value of C(m,r) by removing its dependence in r. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：275 / 280

页数：6