Differences of partition functions: The anti-telescoping method

George E. Andrews

Research output: Chapter in Book/Report/Conference proceedingChapter

13 Scopus citations


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
Number of pages20
StatePublished - 2013

Publication series

NameDevelopments in Mathematics
ISSN (Print)1389-2177

All Science Journal Classification (ASJC) codes

  • General Mathematics


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