ON $5^k$ -REGULAR PARTITIONS MODULO POWERS OF $5$
Year: 2025
Type: article
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.
Authors: B. HEMANTHKUMAR, D. S. GIREESH
Institutions: R.V. College of Engineering, B.M.S. College of Engineering
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,550
OpenAlex ID: W4409401039