Tapas Bhowmik

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math.NT2024

Euler-type recurrences for $t$ -color and $t$ -regular partition functions

Tapas Bhowmik, Wei-Lun Tsai, Dongxi Ye

We give Euler-like recursive formulas for the $t$ -colored partition function when $t = 2$ or $t = 3,$ as well as for all $t$ -regular partition functions. In particular, we derive an in…

math.NT2024

A note on transcendence of special values of functions related to modularity

Tapas Bhowmik, Siddhi Pathak

In this note, we study the arithmetic nature of values of modular functions, meromorphic modular forms and meromorphic quasi-modular forms with respect to arbitrary congruence subg…

Euler-type recurrences for t-color and t-regular partition functions

A note on transcendence of special values of functions related to modularity

Euler-type recurrences for $t$ -color and $t$ -regular partition functions