Equal values of certain partition functions via Diophantine equations
Abstract
Let $A\subset \N_{+}$ and by $P_{A}(n)$ denotes the number of partitions of an integer $n$ into parts from the set $A$. The aim of this paper is to prove several result concerning the existence of integer solutions of Diophantine equations of the form $P_{A}(x)=P_{B}(y)$, where $A, B$ are certain finite sets.
 Publication:

arXiv eprints
 Pub Date:
 February 2021
 arXiv:
 arXiv:2102.05352
 Bibcode:
 2021arXiv210205352T
 Keywords:

 Mathematics  Number Theory
 EPrint:
 21 pages, submitted