A PROOF OF HIRSCHHORN’S CONJECTURE ON $2^n$-DISSECTION OF EULER’S PRODUCT

Abstract Using properties of Ramanujan’s theta functions, we give an elementary proof of Hirschhorn’s conjecture on $2^n$ -dissection of Euler’s product $E(q):=(q;q)_\infty $ .

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2024-10-08
DOI
https://doi.org/10.1017/s0004972724000595
Citations
1
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
1.27
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article

A PROOF OF HIRSCHHORN’S CONJECTURE ON $2^n$-DISSECTION OF EULER’S PRODUCT

Bipul Kumar Sarmah, Satyajit Gayan
1 citations
Bulletin of the Australian Mathematical Society
Advanced Mathematical Identities
1.27
article

A PROOF OF HIRSCHHORN’S CONJECTURE ON $2^n$-DISSECTION OF EULER’S PRODUCT

Bipul Kumar Sarmah, Satyajit Gayan
article en
1 citations

Abstract

Abstract Using properties of Ramanujan’s theta functions, we give an elementary proof of Hirschhorn’s conjecture on $2^n$ -dissection of Euler’s product $E(q):=(q;q)_\infty $ .

Bulletin of the Australian Mathematical SocietyVol. 111(2)
Tezpur University (IN)
Openalex Percentile: Top 20%
Advanced Mathematical Identities
1.27
DOIOpen Access PDFOpenAlex
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A PROOF OF HIRSCHHORN’S CONJECTURE ON $2^n$-DISSECTION OF EULER’S PRODUCT — Bipul Kumar Sarmah, Satyajit Gayan · Bulletin of the Australian Mathematical Society (2024) | TGRS Research Map | TGRS