Extensive and systematic machine computations are carried out to investigate the integral
cohomology of the Euclidean Bianchi groups and their congruence subgroups. The …

Let K be an imaginary quadratic field. Let and be irreducible generic cohomological
automorphic representation of GL (n)/K and GL (n− 1)/K, respectively. Each of them can be …

In this paper, we set up a strategy to prove one divisibility toward the main Iwasawa
conjecture for the Selmer groups attached to the twisted adjoint modular Galois …

This paper contains both theoretical results and experimental data on the behavior of the
dimensions of the cohomology spaces H 1 (Γ, E n), where Γ is a lattice in SL (2, ℂ) and, n∈ …

We construct a Hecke-equivariant pairing on the overconvergent cohomology of Bianchi
threefolds. Applying the strategy of Kim and Bella\" iche, we use this pairing to construct $ p …

Adjoint L -Values and Primes of Congruence for Hilbert Modular Forms Page 1 Adjoint L-Values
and Primes of Congruence for Hilbert Modular Forms EKNATH GHATE School of Mathematics …

For a given system A (T (p)) of eigenvalues of Hecke operators acting on cohomological
cusp forms on GL (2) over a number field F, we look into the adjoint square L-function L (s …

We prove an integrality result for the value at $ s= 1$ of the adjoint $ L $-function associated
to a cohomological cuspidal automorphic representation on ${\rm GL}(n) $ over any number …

We discuss several arithmetic aspects of Bianchi groups, especially from a computational
point of view. In particular, we consider computing the homology of Bianchi groups together …

For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an
Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL2/F …