Equal values of certain partition functions via Diophantine equations

Autor: Szabolcs Tengely, Maciej Ulas
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Popis: 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.
Comment: 21 pages, submitted
Databáze: OpenAIRE