Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values
Autor: | Bergström, Jonas, Dummigan, Neil, Mégarbané, Thomas |
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Rok vydání: | 2016 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 35 pages. With an appendix by Tomoyoshi Ibukiyama and Hidenori Katsurada |
Databáze: | arXiv |
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