Some New Congruences Modulo 5 for the General Partition Function

B. R. Srivatsa Kumar; Shruthi; D. Ranganatha

doi:10.3103/S1066369X20070099

Some New Congruences Modulo 5 for the General Partition Function

B. R. Srivatsa Kumar^*
, Shruthi
, D. Ranganatha

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

In the present work, we discover some new congruences modulo 5 for $p_r(n)$, the general partition function by restricting r to some sequence of negative integers. Our emphasis throughout this paper is to exhibit the use of q-identities to generate the congruences for $p_r(n)$.

Original language	English
Pages (from-to)	73-78
Number of pages	6
Journal	Russian Mathematics
Volume	64
Issue number	7
DOIs	https://doi.org/10.3103/S1066369X20070099
Publication status	Published - 01-07-2020

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Some New Congruences Modulo 5 for the General Partition Function",

abstract = "In the present work, we discover some new congruences modulo 5 for \$p\_r(n)\$, the general partition function by restricting r to some sequence of negative integers. Our emphasis throughout this paper is to exhibit the use of q-identities to generate the congruences for \$p\_r(n)\$.",

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

note = "Funding Information: The first author thanks SERB, DST, India for sanctioning the project [EMR/2016/001601]. The third author's research is partially supported by the UGC Start-Up Research grant no. F.30-489/2019(BSR). Publisher Copyright: {\textcopyright} 2020, Allerton Press, Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

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doi = "10.3103/S1066369X20070099",

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AU - Srivatsa Kumar, B. R.

AU - Shruthi,

AU - Ranganatha, D.

N1 - Funding Information: The first author thanks SERB, DST, India for sanctioning the project [EMR/2016/001601]. The third author's research is partially supported by the UGC Start-Up Research grant no. F.30-489/2019(BSR). Publisher Copyright: © 2020, Allerton Press, Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - In the present work, we discover some new congruences modulo 5 for $p_r(n)$, the general partition function by restricting r to some sequence of negative integers. Our emphasis throughout this paper is to exhibit the use of q-identities to generate the congruences for $p_r(n)$.

AB - In the present work, we discover some new congruences modulo 5 for $p_r(n)$, the general partition function by restricting r to some sequence of negative integers. Our emphasis throughout this paper is to exhibit the use of q-identities to generate the congruences for $p_r(n)$.

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UR - https://www.scopus.com/pages/publications/85089432383#tab=citedBy

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DO - 10.3103/S1066369X20070099

M3 - Article

AN - SCOPUS:85089432383

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SP - 73

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JO - Russian Mathematics

JF - Russian Mathematics

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ER -

Some New Congruences Modulo 5 for the General Partition Function

Abstract

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