2 papers
math.NT2025
Euler-type Recurrence Relation for Arbitrary Arithmetical Function
A. David christopher
An interplay between the Lambert series and Euler's Pentagonal Number Theorem gives an Euler-type recurrence relation for any given arithmetical function. As consequences of this,…
math.CO2025
On asymptotic formula of the partition function
David Christopher, Davamani Christober
The partition function, , is defined to be the number of partitions of with parts in the set A, where is a positive integer and is a set of positive integers. I…