Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions
Number Theory
2023-01-30 v1
Abstract
Recently, Andrews, Dixit and Yee introduced partition functions associated with Ramanujan/Watson third order mock theta functions and . In this paper, we find several new exact generating functions for those partition functions as well as the associated smallest parts functions and deduce several new congruences modulo powers of 5.
Keywords
Cite
@article{arxiv.1908.07741,
title = {Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions},
author = {Nayandeep Deka Baruah and Nilufar Mana Begum},
journal= {arXiv preprint arXiv:1908.07741},
year = {2023}
}
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23 pages