Arithmetic identities of Ramanujan's general partition function for modulo 17

Shruthi; B. R. Srivatsa Kumar

doi:10.17777/pjms2019.22.4.625

Arithmetic identities of Ramanujan's general partition function for modulo 17

Shruthi
, B. R. Srivatsa Kumar^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we prove four infinite families of congruences modulo 17 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 the general partition function.

Original language	English
Pages (from-to)	625-630
Number of pages	6
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	22
Issue number	4
DOIs	https://doi.org/10.17777/pjms2019.22.4.625
Publication status	Published - 01-01-2019

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Arithmetic identities of Ramanujan's general partition function for modulo 17",

abstract = "In this paper, we prove four infinite families of congruences modulo 17 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 the general partition function.",

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

year = "2019",

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doi = "10.17777/pjms2019.22.4.625",

language = "English",

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AU - Srivatsa Kumar, B. R.

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N2 - In this paper, we prove four infinite families of congruences modulo 17 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 the general partition function.

AB - In this paper, we prove four infinite families of congruences modulo 17 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 the general partition function.

UR - https://www.scopus.com/pages/publications/85075355377

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DO - 10.17777/pjms2019.22.4.625

M3 - Article

AN - SCOPUS:85075355377

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VL - 22

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JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 4

ER -

Arithmetic identities of Ramanujan's general partition function for modulo 17

Abstract

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