42 citations · 140 across the 19 of their papers we have counts for
4 papers · 2 filters
Zero repulsion in families of elliptic curve L-functions and an observation of S. J. Miller
Simon Marshall
We provide a theoretical explanation for an observation of S. J. Miller that if L(s,E) is an elliptic curve L-function for which L(1/2, E) is nonzero, then the lowest lying zero of…
Theta lifting and cohomology growth in p-adic towers
Mathieu Cossutta, Simon Marshall
We use the theta lift to study the multiplicity with which certain automorphic representations of cohomological type occur in a family of congruence covers of an arithmetic manifol…
Unconditional bounds for the multiplicity of automorphic forms of cohomological type on GL_2
Simon Marshall
We prove an unconditional power saving for the dimension of the space of cohomological automorphic forms of fixed level and growing weight on GL_2 over any number field which is no…
On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
Simon Marshall, Werner Mueller
In this paper we consider the cohomology of a closed arithmetic hyperbolic 3-manifold with coefficients in the local system defined by the even symmetric powers of the standard rep…