5 citations · 7 across the 6 of their papers we have counts for
12 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…
On the occurrence of large positive Hecke eigenvalues for GL(2)
Nahid Walji
Let be a cuspidal automorphic representation for GL(2)/ that is self-dual. In this Note we show that there exists a positive upper Dirichlet density of primes at wh…
Distinguishing finite group characters and refined local-global phenomena
Kimball Martin, Nahid Walji
Serre obtained a sharp bound on how often two irreducible degree complex characters of a finite group can agree, which tells us how many local factors determine an Artin -fu…
On the distribution of Hecke eigenvalues for cuspidal automorphic representations for GL(2)
Nahid Walji
Given a self-dual cuspidal automorphic representation for GL(2) over a number field, we establish the existence of an infinite number of Hecke eigenvalues that are greater than an…
Matching densities for Galois representations
Nahid Walji
Given a pair of n-dimensional complex Galois representations over Q, we define their matching density to be the density, if it exists, of the set of places at which the traces of F…
On the Occurrence of Hecke Eigenvalues and a Lacunarity Question of Serre
Nahid Walji
Let πbe a unitary cuspidal automorphic representation for GL(n) over a number field. We establish upper bounds on the number of Hecke eigenvalues of πequal to a fixed complex numbe…
On the size of Satake parameters for unitary cuspidal automorphic representations for GL(4)
Nahid Walji
Let Π be a cuspidal automorphic representation for GL(4) over a number field F. We obtain unconditional lower bounds on the number of places at which the Satake parameters are not…
Further refinement of strong multiplicity one for GL(2)
Nahid Walji
We obtain a sharp refinement of the strong multiplicity one theorem for the case of unitary non-dihedral cuspidal automorphic representations for GL(2). Given two unitary cuspidal…
Supersingular distribution on average for congruence classes of primes
Nahid Walji
We demonstrate the existence of a congruence class bias in the distribution of supersingular primes on average for elliptic curves over $\Q$. For example, we show that on average t…