A. Christopher

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math.NT2025

Congruences Relating Regular Partition Functions, a Genearalised Tau Function and Partition Function Weighted Composition Sums

S. Sriram, A. David Christopher

Let $n$ and $t$ be positive integers with $t \geq 2$ . Let $R_{t} (n)$ be the number of $t$ -regular partitions of $n$ . A class of functions, denoted $I ¨ _{k} (n)$ , is defined as follows: \[…

math.NT2025

The Number of Parts in the (Distinct) Partitions With Parts From a Set

A. David Christopher

The number of parts in the partitions (resp. distinct partitions) of $n$ with parts from a set were considered. Its generating functions were obtained. Consequently, we derive seve…