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

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Authors

B. Hemanthkumar · Panchajanya Vidya Peetha Welfare Trust

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.

Topics & Keywords

Differential Equations and Boundary Problems Advanced Harmonic Analysis Research Mathematical Approximation and Integration

Publication Details

Published in: Bulletin of the Australian Mathematical Society

Volume 112, Issue 3, pp. 449-457

DOI: 10.1017/s0004972725000139

Field-Weighted Citation Impact: 3.73

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

Authors

Abstract

Topics & Keywords

Publication Details