4 papers
On the distribution of traces of Frobenius for families of elliptic curves and the Lang-Trotter conjecture on average
Nathan Fugleberg, Nahid Walji
We obtain distribution results for traces of Frobenius for various families of elliptic curves with respect to the Lang-Trotter conjecture, extremal primes, and the central limit t…
On the conjectural decomposition of symmetric powers of automorphic representations for GL(3) and GL(4)
Nahid Walji
Given a cuspidal automorphic representation for GL(3) over a number field and a positive integer , assume that the symmetric th power lifts of are isobaric automorphi…
On the occurrence of Hecke eigenvalues in sectors
Nahid Walji
Let be a non-self-dual unitary cuspidal automorphic representation of non-solvable polyhedral type for GL(2) over a number field. We show that has a positive upper Dirichle…
A conjectural refinement of strong multiplicity one for GL(n)
Nahid Walji
Given a pair of distinct unitary cuspidal automorphic representations for GL(n) over a number field, let S denote the set of finite places at which the automorphic representations…