Explicit formula for the spherical image of the symplectic Hecke series of genus four

dc.creatorVankov, Kirill
dc.date2006-06-20
dc.date2006-09-29
dc.date.accessioned2026-07-07T07:17:29Z
dc.date.available2026-07-07T07:17:29Z
dc.descriptionWe obtain an explicit formula for the spherical image of the polynomial fraction conjectured by Shimura in 1963 for generating Hecke series in particular case of genus 4. As in our previous work we used the Satake spherical map for ${\rm Sp}_4$ and formulas by Andrianov. Key words: Hecke operators, Dirichlet series, Euler factorization, spherical map.
dc.identifierhttps://arxiv.org/abs/math/0606492
dc.identifierhttp://arxiv.org/abs/math/0606492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113960
dc.subjectNumber Theory
dc.subject11F60
dc.titleExplicit formula for the spherical image of the symplectic Hecke series of genus four
dc.typetext

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