English

Explicit Shimura's conjecture for Sp3 on a computer

Number Theory 2007-05-23 v3

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.

Cite

@article{arxiv.math/0607158,
  title  = {Explicit Shimura's conjecture for Sp3 on a computer},
  author = {Alexei Panchishkin and Kirill Vankov},
  journal= {arXiv preprint arXiv:math/0607158},
  year   = {2007}
}