K. Saito's Conjecture for Nonnegative Eta Products

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dc.creatorBerkovich, Alexander
dc.creatorGarvan, Frank G.
dc.date2006-07-25
dc.date.accessioned2026-07-07T07:20:52Z
dc.date.available2026-07-07T07:20:52Z
dc.descriptionWe prove that the Fourier coefficients of a certain general eta product considered by K. Saito are nonnegative. The proof is elementary and depends on a multidimensional theta function identity. The z = 1 case is an identity for the generating function for p-cores due to Klyachko [12] and Garvan, Kim and Stanton [7].
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0607606
dc.identifierhttp://arxiv.org/abs/math/0607606
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115103
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11F20 (Primary), 11F27, 11F30, 05A19, 05A30, 11B65 (Secondary)
dc.titleK. Saito's Conjecture for Nonnegative Eta Products
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