ON $5^k$-REGULAR PARTITIONS MODULO POWERS OF $5$

Abstract In this work, we investigate the arithmetic properties of $b_{5^k}(n)$ , which counts the partitions of n where no part is divisible by $5^k$ . By constructing generating functions for $b_{5^k}(n)$ across specific arithmetic progressions, we establish a set of Ramanujan-type congruences.

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2025-04-13
DOI
https://doi.org/10.1017/s0004972725000139
Citations
1
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
3.73
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article

ON $5^k$-REGULAR PARTITIONS MODULO POWERS OF $5$

B. Hemanthkumar, D. S. Gireesh
1 citations
Bulletin of the Australian Mathematical Society
Differential Equations and Boundary Problems
3.73
article

ON $5^k$-REGULAR PARTITIONS MODULO POWERS OF $5$

B. Hemanthkumar, D. S. Gireesh
article en
1 citations

Abstract

Abstract In this work, we investigate the arithmetic properties of $b_{5^k}(n)$ , which counts the partitions of n where no part is divisible by $5^k$ . By constructing generating functions for $b_{5^k}(n)$ across specific arithmetic progressions, we establish a set of Ramanujan-type congruences.

Bulletin of the Australian Mathematical SocietyVol. 112(3)
Temple College (US), Panchajanya Vidya Peetha Welfare Trust (IN)
Openalex Percentile: Top 11%
Differential Equations and Boundary Problems
3.73
DOIOpen Access PDFOpenAlex
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ON $5^k$-REGULAR PARTITIONS MODULO POWERS OF $5$ — B. Hemanthkumar, D. S. Gireesh · Bulletin of the Australian Mathematical Society (2025) | TGRS Research Map | TGRS