The partition function in arithmetic progressions
type: Item
instance of: scholarly article
title: The partition function in arithmetic progressions
zbMATH Open document ID: 0914.11054
author: Ken Ono
published in: Mathematische Annalen
publication date: 1999-06-21T00:00:00Z
review text: Extending some of his own earlier work, the author makes the following conjecture, which is a refinement of a conjecture by Subbarao: Conjecture 2: If \(t\) is prime, let \(r\) be an integer such that \(24r\not\equiv 1\pmod t\). Then there exist infinitely many \(M\) such that \(M\equiv r\pmod t\) and \(p(M)\) is odd. Using the theory of modular forms, he proves that conjecture 2 holds for a set of primes whose density exceeds \(1- 10^{-1500}\).
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 11B25
zbMATH DE Number: 1221885
zbMATH Keywords: partition function
zbMATH Keywords: arithmetic progressions
zbMATH Keywords: conjecture by Subbarao
zbMATH Keywords: modular forms
reviewed by: Neville Robbins
MaRDI profile type: Publication
full work available at URL: s002080050221
OpenAlex ID: W1981381415
DOI: 10.1007/S002080050221
description: scientific article; zbMATH DE number 1221885