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arXiv · 1502.07827

Eisenstein congruences for split reductive groups

Jonas Bergström·Neil Dummigan
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Abstract

We present a general conjecture on congruences between Hecke eigenvalues of parabolically induced and cuspidal automorphic representations of split reductive groups, modulo divisors of critical values of certain $L$-functions. We examine the consequences in several special cases, and use the Bloch-Kato conjecture to further motivate a belief in the congruences.

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Jonas Bergström, Neil Dummigan. 2015-02-27. Eisenstein congruences for split reductive groups. https://arxiv.org/abs/1502.07827

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