Arithmetic properties of Ramanujan's general partition function for modulo 11

被引：1

作者：

Kumar, Belakavadi R. Srivatsa ^{[1
]}

Narendra, Ramakrishna ^{[2
]}

Rajanna, Karpenahalli R. ^{[2
]}

机构：

[1] Manipal Acedemy Higher Educ, Manipal Inst Technol, Dept Math, Manipal 576104, India

[2] Acharya Inst Technol Soladevanahalli, Dept Math, Bengaluru 560107, India

来源：

KUWAIT JOURNAL OF SCIENCE | 2021年 / 48卷 / 01期

关键词：

Congruences; General partitions; q-identities; Theta-functions; CONGRUENCES; POWERS;

D O I：

10.48129/kjs.v48i1.8827

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present work, for the general partition function p(r)(n), we establish five new infinite families of congruences modulo 11. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congruences of p(r)(n).

引用

页码：10 / 13

页数：4

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