New modular relations for the Göllnitz-Gordon functions

Shu Ling Chen, Sen Shan Huang

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.

Original languageEnglish
Pages (from-to)58-75
Number of pages18
JournalJournal of Number Theory
Volume93
Issue number1
DOIs
Publication statusPublished - 2002 Jan 1

Fingerprint

Ramanujan
Partition

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

@article{7a05cfc9ce9a442f9cc38cd89e6bf2c3,
title = "New modular relations for the G{\"o}llnitz-Gordon functions",
abstract = "We attempt to obtain new modular relations for the G{\"o}llnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the G{\"o}llnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.",
author = "Chen, {Shu Ling} and Huang, {Sen Shan}",
year = "2002",
month = "1",
day = "1",
doi = "10.1006/jnth.2001.2708",
language = "English",
volume = "93",
pages = "58--75",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press Inc.",
number = "1",

}

New modular relations for the Göllnitz-Gordon functions. / Chen, Shu Ling; Huang, Sen Shan.

In: Journal of Number Theory, Vol. 93, No. 1, 01.01.2002, p. 58-75.

Research output: Contribution to journalArticle

TY - JOUR

T1 - New modular relations for the Göllnitz-Gordon functions

AU - Chen, Shu Ling

AU - Huang, Sen Shan

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.

AB - We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.

UR - http://www.scopus.com/inward/record.url?scp=0036222278&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036222278&partnerID=8YFLogxK

U2 - 10.1006/jnth.2001.2708

DO - 10.1006/jnth.2001.2708

M3 - Article

VL - 93

SP - 58

EP - 75

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 1

ER -