New modular relations for the Göllnitz-Gordon functions

Shu Ling Chen; Sen Shan Huang

doi:10.1006/jnth.2001.2708

New modular relations for the Göllnitz-Gordon functions

Shu Ling Chen, Sen Shan Huang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	58-75
Number of pages	18
Journal	Journal of Number Theory
Volume	93
Issue number	1
DOIs	https://doi.org/10.1006/jnth.2001.2708
Publication status	Published - 2002

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1006/jnth.2001.2708

Fingerprint Dive into the research topics of 'New modular relations for the Göllnitz-Gordon functions'. Together they form a unique fingerprint.

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",

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",

}

TY - JOUR

T1 - New modular relations for the Göllnitz-Gordon functions

AU - Chen, Shu Ling

AU - Huang, Sen Shan

PY - 2002

Y1 - 2002

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

AN - SCOPUS:0036222278

VL - 93

SP - 58

EP - 75

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 1

ER -