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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 7, Pages 83–88
DOI: https://doi.org/10.26907/0021-3446-2020-7-83-88 (Mi ivm9597) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some new congruences modulo $5$ for the general partition function

B. R. Srivatsa Kumara, Shruthia, D. Ranganathab

a Manipal Institute of Technology, Manipal Academy of Higher Education, India, Manipal, 576104 India
b Central University of Karnataka, Kalaburagi, 585367 India
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DOI: https://doi.org/10.26907/0021-3446-2020-7-83-88
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 $p_r(n)$.
Keywords: $q$-identity, Partition congruence, Ramanujan's general partition function.
Funding agency Grant number
Science and Engineering Research Board EMR/2016/001601
University Grants Commission F.30-489/2019(BSR)
Received: 07.08.2019
Revised: 07.08.2019
Accepted: 25.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 7, Pages 73–78
DOI: https://doi.org/10.3103/S1066369X20070099
Bibliographic databases:
Document Type: Article
UDC: 511.218
Language: Russian
Citation: B. R. Srivatsa Kumar, Shruthi, D. Ranganatha, “Some new congruences modulo $5$ for the general partition function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 7, 83–88; Russian Math. (Iz. VUZ), 64:7 (2020), 73–78
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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