Ramanujan's congruences for the partition function modulo 5, 7, and 11

被引：8

作者：

Berndt, Bruce C. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2007年 / 3卷 / 03期

关键词：

partition congruences; Eisenstein series; Ramanujan's lost notebook;

D O I：

10.1142/S1793042107000961

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Ramanujan's differential equations for Eisenstein series and an idea from Ramanujan's unpublished manuscript on the partition function p(n) and the tau function t(n), we provide simple proofs of Ramanujan's congruences for p(n) modulo 5, 7, and 11.

引用

页码：349 / 354

页数：6

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