@article{a5ce0ac390a947f4a632dacb2664940f,
title = "On Erd{\H o}s{\textquoteright}s Method for Bounding the Partition Function",
abstract = "For fixed m and (Formula presented.), take A to be the set of positive integers congruent modulo m to one of the elements of R, and let (Formula presented.) be the number of ways to write n as a sum of elements of A. Nathanson proved that (Formula presented.) using a variant of a remarkably simple method devised by Erd{\H o}s in order to bound the partition function. In this short note, we describe a simpler and shorter proof of Nathanson{\textquoteright}s bound.",
keywords = "05A17, MSC: Primary 11P81, Secondary 11P83",
author = "Antonir, {Asaf Cohen} and Asaf Shapira",
note = "Publisher Copyright: {\textcopyright}, THE MATHEMATICAL ASSOCIATION OF AMERICA.",
year = "2021",
doi = "10.1080/00029890.2021.1944756",
language = "אנגלית",
volume = "128",
pages = "744--747",
journal = "American Mathematical Monthly",
issn = "0002-9890",
publisher = "Taylor and Francis Ltd.",
number = "8",
}