Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values
Number Theory
2016-05-04 v1
Abstract
We work out instances of a general conjecture on congruences between Hecke eigenvalues of induced and cuspidal automorphic representations of a reductive group, modulo divisors of certain critical L-values, in the case that the group is a split orthogonal group. We provide some numerical evidence in the case that the group is SO(4,3) and the L-function is the spinor L-function of a genus 2, vector-valued, Siegel cusp form. We also consider the case that the group is SO(4,4) and the L-function is a triple product L-function.
Keywords
Cite
@article{arxiv.1605.00819,
title = {Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values},
author = {Jonas Bergström and Neil Dummigan and Thomas Mégarbané},
journal= {arXiv preprint arXiv:1605.00819},
year = {2016}
}
Comments
35 pages. With an appendix by Tomoyoshi Ibukiyama and Hidenori Katsurada