12 citations · 30 across the 14 of their papers we have counts for
17 papers
Spectral fourth moments of Hecke--Maaß cusp forms
Edgar Assing, Peter Humphries
In this note, we establish essentially optimal bounds for certain spectral moments of automorphic forms for . More precisely, we consider the family of Hecke--Maaß…
Isogenies of CM Elliptic Curves
Edgar Assing, Yingkun Li, Tian Wang +1
Given two CM elliptic curves over a number field and a natural number , we establish a polynomial lower bound (in terms of ) for the number of rational primes such that t…
Unipotent mixing for general moduli
Edgar Assing
In this note we prove a joint equidistribution result for discrete low lying horocycles. This generalizes previous work of Blomer and Michel, where it was crucially assumed that th…
New bounds for fundamental Fourier coefficients of Siegel modular forms
Edgar Assing
We prove new bounds for the Fourier coefficients of Jacobi forms using a method of Iwaniec. In view of the Fourier-Jacobi expansion of degree two Siegel modular forms, we can use t…
Local analysis of the Kuznetsov formula and the density conjecture
Edgar Assing, Valentin Blomer, Paul D. Nelson
We prove Sarnak's spherical density conjecture for the principal congruence subgroup of SL(n, Z) of arbitrary level. Applications include a complete version of Sarnak's optimal lif…
An observation concerning highly ramified -factors
Edgar Assing
In this note we prove a quantitative stability result for the -factors associated to generic irreducible representations of under twists by highly ramified ch…