On the numerator of the symplectic Hecke series of degree three

2006/04/27 by Alexei Panchishkin, Panchishkin, Alexei, Kirill Vankov +1
Mathematics · #11F60 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.NT #msc:11F60

paper · pdf · doi:10.48550/arxiv.math/0604602

openalex publication_date 2006/04/27 · arxiv created 2006/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find a different method to compute the generating series in Shimura's conjecture for Sp3, proved by Andrianov in 1967. Formulas for the Satake spherical map for Sp3 are used.

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