Magic determinants of Somos sequences and theta functions
type: Item
instance of: scholarly article
title: Magic determinants of Somos sequences and theta functions
zbMATH Open document ID: 1217.11016
published in: Discrete Mathematics
publication date: 2009-12-15T00:00:00Z
review text: Based on the fact that the determinant of the matrix \[ \begin{pmatrix} a&b\\ c&d\\ e&f \end{pmatrix} \begin{pmatrix} t&u&v\\ x&y&z \end{pmatrix} \] is zero, the author proves various identities with Somos sequences and elliptic theta functions.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 5648165
zbMATH Keywords: determinant
zbMATH Keywords: Somos sequence
zbMATH Keywords: elliptic theta function
describes a project that uses: OEIS
author: Xinrong Ma
MaRDI profile type: Publication
full work available at URL: j.disc.2009.07.012
OpenAlex ID: W1999612855
cites work: COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES
cites work: Cubic theta functions.
cites work: Determinant identities for theta functions
cites work: Arithmetical consequences of a sextuple product identity
cites work: Q4828543
cites work: Sigma function solution of the initial value problem for Somos 5 sequences
cites work: Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
cites work: The On-Line Encyclopedia of Integer Sequences
cites work: RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
cites work: Memoir on Elliptic Divisibility Sequences
cites work: Q4716292
DOI: 10.1016/J.DISC.2009.07.012
description: scientific article; zbMATH DE number 5648165