Explicit Shimura's conjecture for Sp3 on a computer

2006/07/06 by Alexei Panchishkin, Panchishkin, Alexei, Kirill Vankov +1
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Geometric and Algebraic Topology #math.NT #msc:11F60 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0607158

arxiv created 2006/11/30 · arxiv updated 2009/12/01

Abstract

We compute by a different method the generating series in Shimura's conjecture for Sp3, proved by Andrianov in 1967. We develop formulas for the Satake spherical maps for Sp_n and Gl_n.

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