Some congruence properties for ramanujan's general partitions

D. Anu Radha; B. R. Srivatsa Kumar; Shruthi

doi:10.17777/pjms2020.23.3.413

Some congruence properties for ramanujan's general partitions

D. Anu Radha
, B. R. Srivatsa Kumar^*
, Shruthi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we prove four new infinite families of congruences modulo 13 for the general partition function p_r(n) for negative values of r. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congruences for general partitions.

Original language	English
Pages (from-to)	413-420
Number of pages	8
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	23
Issue number	3
DOIs	https://doi.org/10.17777/pjms2020.23.3.413
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

General Mathematics

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10.17777/pjms2020.23.3.413

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title = "Some congruence properties for ramanujan's general partitions",

abstract = "In this paper, we prove four new infinite families of congruences modulo 13 for the general partition function pr(n) for negative values of r. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congruences for general partitions.",

author = "\{Anu Radha\}, D. and \{Srivatsa Kumar\}, \{B. R.\} and Shruthi",

note = "Publisher Copyright: {\textcopyright} 2020 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

doi = "10.17777/pjms2020.23.3.413",

language = "English",

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pages = "413--420",

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AU - Anu Radha, D.

AU - Srivatsa Kumar, B. R.

AU - Shruthi,

PY - 2020

Y1 - 2020

N2 - In this paper, we prove four new infinite families of congruences modulo 13 for the general partition function pr(n) for negative values of r. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congruences for general partitions.

AB - In this paper, we prove four new infinite families of congruences modulo 13 for the general partition function pr(n) for negative values of r. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congruences for general partitions.

UR - https://www.scopus.com/pages/publications/85098233883

UR - https://www.scopus.com/pages/publications/85098233883#tab=citedBy

U2 - 10.17777/pjms2020.23.3.413

DO - 10.17777/pjms2020.23.3.413

M3 - Article

AN - SCOPUS:85098233883

SN - 1598-7264

VL - 23

SP - 413

EP - 420

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 3

ER -

Some congruence properties for ramanujan's general partitions

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