Genus theta series, Hecke operators and the basis problem for Eisenstein series

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dc.creatorKatsurada, Hidenori
dc.creatorSchulze-Pillot, Rainer
dc.date2005-08-30
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:42:52Z
dc.date.available2026-07-07T06:42:52Z
dc.descriptionWe derive explicit formulas for the action of the Hecke operator $T(p)$ on the genus theta series of a positive definite integral quadratic form and prove a theorem on the generation of spaces of Eisenstein series by genus theta series. We also discuss connections of our results with Kudla's matching principle for theta integrals.
dc.description23 pages, to appear in the proceedings of the conference to the memory of Tsuneo Arakawa, Tokyo 2004. Revised Dec 14,2005: typos removed, some formulations corrected
dc.identifierhttps://arxiv.org/abs/math/0508613
dc.identifierhttp://arxiv.org/abs/math/0508613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102205
dc.subjectNumber Theory
dc.subject11F46
dc.titleGenus theta series, Hecke operators and the basis problem for Eisenstein series
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