\(q\)-series, elliptic curves, and odd values of the partition function
type: Item
instance of: scholarly article
title: \(q\)-series, elliptic curves, and odd values of the partition function
zbMATH Open document ID: 0922.11084
DOI: 10.1155/S0161171299220558
author: Nicholas Eriksson
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-10-17T00:00:00Z
full work available at URL: https://eudml.org/doc/48246
review text: Let \(p(n)\) denote the partition function. Using the theory of elliptic curves over finite fields as well as \(q\)-series, the author proves 8 theorems including the following: Let \(n\) be an odd square. Let \(S_n= \{1,2,3,\dots,{1\over 4}(n- 1)\}\). Then \(S_n\) has a subsequence, \(T_n\), such that \(p(k)\) is odd for oddly many \(k\) in \(T_n\).
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 11G20
zbMATH DE Number: 1275557
zbMATH Keywords: odd values of the partition function
zbMATH Keywords: elliptic curves over finite fields
zbMATH Keywords: \(q\)-series
reviewed by: Neville Robbins
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1275557