Cvanishing Coefficients In Infinite Product Expansions

George E. Andrews; David M. Bressoud

doi:10.1017/S1446788700012118

Cvanishing Coefficients In Infinite Product Expansions

George E. Andrews, David M. Bressoud

Mathematics

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

18 Scopus citations

Abstract

Richmond and Szekeres (1977) have conjectured that certain of the coefficients in the power series expansions of certain infinite products vanish. In this paper, we prove a general family of results of this nature which includes the above conjectures.

Original language	English (US)
Pages (from-to)	199-202
Number of pages	4
Journal	Journal of the Australian Mathematical Society
Volume	27
Issue number	2
DOIs	https://doi.org/10.1017/S1446788700012118
State	Published - Mar 1979

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Cvanishing Coefficients In Infinite Product Expansions",

abstract = "Richmond and Szekeres (1977) have conjectured that certain of the coefficients in the power series expansions of certain infinite products vanish. In this paper, we prove a general family of results of this nature which includes the above conjectures.",

author = "Andrews, {George E.} and Bressoud, {David M.}",

note = "Funding Information: Research of George E. Andrews partially supported by National Science Foundation MCS 77-00795.",

year = "1979",

month = mar,

doi = "10.1017/S1446788700012118",

language = "English (US)",

volume = "27",

pages = "199--202",

journal = "Journal of the Australian Mathematical Society",

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publisher = "Cambridge University Press",

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T1 - Cvanishing Coefficients In Infinite Product Expansions

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AU - Bressoud, David M.

N1 - Funding Information: Research of George E. Andrews partially supported by National Science Foundation MCS 77-00795.

PY - 1979/3

Y1 - 1979/3

N2 - Richmond and Szekeres (1977) have conjectured that certain of the coefficients in the power series expansions of certain infinite products vanish. In this paper, we prove a general family of results of this nature which includes the above conjectures.

AB - Richmond and Szekeres (1977) have conjectured that certain of the coefficients in the power series expansions of certain infinite products vanish. In this paper, we prove a general family of results of this nature which includes the above conjectures.

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