Differences of partition functions: The anti-telescoping method

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

The late Leon Ehrenpreis originally posed the problem of showing that the difference of the two Rogers-Ramanujan products had positive coefficients without invoking the Rogers-Ramanujan identities. We first solve the problem generalized to the partial products and subsequently solve several related problems. The object is to introduce the anti-telescoping method which is capable of wide generalization.

Original languageEnglish (US)
Title of host publicationFrom Fourier Analysis and Number Theory to Radon Transforms and Geometry
Subtitle of host publicationIn Memory of Leon Ehrenpreis
EditorsHershel Farkas, Marvin Knopp, Robert Gunning, B.A Taylor
Pages1-20
Number of pages20
DOIs
StatePublished - Sep 2 2013

Publication series

NameDevelopments in Mathematics
Volume28
ISSN (Print)1389-2177

Fingerprint

Partition Function
Rogers-Ramanujan Identities
Ramanujan
Partial
Coefficient
Object
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Andrews, G. E. (2013). Differences of partition functions: The anti-telescoping method. In H. Farkas, M. Knopp, R. Gunning, & B. A. Taylor (Eds.), From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis (pp. 1-20). (Developments in Mathematics; Vol. 28). https://doi.org/10.1007/978-1-4614-4075-8_1
Andrews, George E. / Differences of partition functions : The anti-telescoping method. From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis. editor / Hershel Farkas ; Marvin Knopp ; Robert Gunning ; B.A Taylor. 2013. pp. 1-20 (Developments in Mathematics).
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Andrews, GE 2013, Differences of partition functions: The anti-telescoping method. in H Farkas, M Knopp, R Gunning & BA Taylor (eds), From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis. Developments in Mathematics, vol. 28, pp. 1-20. https://doi.org/10.1007/978-1-4614-4075-8_1

Differences of partition functions : The anti-telescoping method. / Andrews, George E.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis. ed. / Hershel Farkas; Marvin Knopp; Robert Gunning; B.A Taylor. 2013. p. 1-20 (Developments in Mathematics; Vol. 28).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Andrews GE. Differences of partition functions: The anti-telescoping method. In Farkas H, Knopp M, Gunning R, Taylor BA, editors, From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis. 2013. p. 1-20. (Developments in Mathematics). https://doi.org/10.1007/978-1-4614-4075-8_1