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).
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页码：10 / 13
页数：4
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