23 citations · 75 across the 11 of their papers we have counts for
11 papers · 1 filter
Beyond the spherical sup-norm problem
Valentin Blomer, Gergely Harcos, Péter Maga +1
We open a new perspective on the sup-norm problem and propose a version for non-spherical Maass forms when the maximal compact K is non-abelian and the dimension of the K-type gets…
Conductor zeta function for the GL(2) universal family
Farrell Brumley, Didier Lesesvre, Djordje Milićević
We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of over , as…
The density hypothesis for horizontal families of lattices
Mikołaj Frączyk, Gergely Harcos, Péter Maga +1
We prove the density hypothesis for wide families of arithmetic orbifolds arising from all division quaternion algebras over all number fields of bounded degree. Our power-saving b…
Distribution of Kloosterman paths to high prime power moduli
Djordje Milićević, Sichen Zhang
We consider the distribution of polygonal paths joining the partial sums of normalized Kloosterman sums modulo an increasingly high power p^n of a fixed odd prime p, a pure depth-a…
Ambient prime geodesic theorems on hyperbolic 3-manifolds
Lindsay Dever, Djordje Milićević
We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manifold with length and holonomy in prescribed intervals, which are allowed to shrin…
Nonvanishing of Dirichlet L-functions, II
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
We show that for at least of the primitive Dirichlet characters of large prime modulus, the central value does not vanish, improving on the pr…
Counting cusp forms by analytic conductor
Farrell Brumley, Djordje Milićević
Let be a number field and an integer. The universal family is the set of all unitary cuspidal automorphic representations on over …
The second moment theory of families of L-functions
Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski +3
For a fairly general family of L-functions, we survey the known consequences of the existence of asymptotic formulas with power-sawing error term for the (twisted) first and second…
Non-vanishing of Dirichlet L-functions in Galois orbits
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
A well known result of Iwaniec and Sarnak states that for at least one third of the primitive Dirichlet characters to a large modulus q, the associated L-functions do not vanish at…
Kloosterman sums in residue classes
Valentin Blomer, Djordje Milićević
We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithme…
Bounds for eigenforms on arithmetic hyperbolic 3-manifolds
Valentin Blomer, Gergely Harcos, Djordje Milićević
On a family of arithmetic hyperbolic 3-manifolds of squarefree level, we prove an upper bound for the sup-norm of Hecke-Maass cusp forms, with a power saving over the local geometr…