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4 papers
-values and Hecke eigenvalue congruences
Jonas Bergström, Neil Dummigan, David Farmer +1
We find experimental examples of congruences of Hecke eigenvalues between automorphic representations of groups such as , $\mathrm{SO}(4,3)(\mathbb{\mat…
Automorphic Forms on Feit's Hermitian Lattices
Neil Dummigan, Sebastian Schönnenbeck
We consider the genus of classes of unimodular Hermitian lattices of rank over the Eisenstein integers. This set is the domain for a certain space of algebraic modular fo…
Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values
Jonas Bergström, Neil Dummigan, Thomas Mégarbané
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…
Lifting Congruences to weight 3/2
Neil Dummigan, Srilakshmi Krishnamoorthy
Given a congruence of Hecke eigenvalues between newforms of weight , we prove, under certain conditions, a congruence between corresponding weight- forms.