5 citations · 11 across the 6 of their papers we have counts for
6 papers
Counting newforms with prescribed ramified supercuspidal components
Andrew Knightly, Kimball Martin
We give a formula for the number of newforms in that have prescribed ramified supercuspidal components at a set of primes dividing . This dimen…
Counting locally supercuspidal newforms
Andrew Knightly
The trace formula is a versatile tool for computing sums of spectral data across families of automorphic forms. Using specialized test functions, one can treat small families with…
Weighted distribution of low-lying zeros of GL(2) L-functions
Andrew Knightly, Caroline Reno
We show that if the zeros of an automorphic -function are weighted by the central value of the -function or a quadratic imaginary base change, then for certain families of ho…
On the distribution of Satake parameters for Siegel modular forms
Andrew Knightly, Charles Li
We prove a harmonically weighted equidistribution result for the -th Satake parameters of the family of automorphic cuspidal representations of of fixe…
Averages of twisted L-functions
Julia Jackson, Andrew Knightly
We use a relative trace formula on GL(2) to compute a sum of twisted modular L-functions anywhere in the critical strip, weighted by a Fourier coefficient and a Hecke eigenvalue. W…
Kuznetsov's trace formula and the Hecke eigenvalues of Maass forms
Charles Li, Andrew Knightly
We give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on GL(2) over Q. The result is a variant which incorporates a Hecke eigenvalue in addition to…