33 citations · 97 across the 17 of their papers we have counts for
14 papers · 1 filter
Extensions of integral orthoregular sets and icubes
Márton Erdélyi, Péter Maga, Gergely Zábrádi
In this paper, we study the question when a (rational or Gaussian) integral vector can be extended to an integral orthogonal basis consisting of vectors of equal length. We also st…
The sup-norm problem for automorphic cusp forms of
Péter Maga, Gergely Zábrádi
Let be an -normalized Hecke--Maaß cusp form for on the locally symmetric space $X:=\mathrm{PGL}_n(\mathbb{Z}[i])\backslash \mathrm{PGL}_n(\…
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…
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…
Counting bounded elements of a number field
Mikołaj Frączyk, Gergely Harcos, Péter Maga
We estimate, in a number field, the number of elements and the maximal number of linearly independent elements, with prescribed bounds on their valuations. As a by-product, we obta…
The prime geodesic theorem in square mean
Antal Balog, András Biró, Gergely Harcos +1
We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for . We also develop a sh…
Analytic properties of spherical cusp forms on GL(n)
Valentin Blomer, Gergely Harcos, Péter Maga
Let be an -normalized spherical vector in an everywhere unramified cuspidal automorphic representation of over with Laplace eigenvalue .…
On the global sup-norm of GL(3) cusp forms
Valentin Blomer, Gergely Harcos, Péter Maga
Let be a spherical Hecke-Maass cusp form on the non-compact space . We establish various pointwise upper bounds…
Applications of the Kuznetsov formula on GL(3): the level aspect
Valentin Blomer, Jack Buttcane, Péter Maga
We develop an explicit Kuznetsov formula on GL(3) for congruence subgroups. Applications include a Lindelof on average type bound for the sixth moment of GL(3) L-functions in the l…
Subconvexity for sup-norms of automorphic forms on PGL(n)
Valentin Blomer, Péter Maga
We prove the subconvexity conjecture for sup-norms of automorphic forms for congruence subgroups of SL(n, Z) that satisfy the Ramanujan conjecture at infinity.
The sup-norm problem for PGL(4)
Valentin Blomer, Péter Maga
Let F be a Hecke-Maass cusp form for the group SL(4, Z) with Laplace eigenvalue lambda. Assume that F satisfies the Ramanujan conjecture at infinity (this is satisfied by almost al…
Shifted convolution sums and Burgess type subconvexity over number fields
P. Maga
Let be a number field and an irreducible cuspidal representation of with unitary central character. Then the bound…
A semi-adelic Kuznetsov formula over number fields
Péter Maga
In these notes, we prove a semi-adelic version of the Kuznetsov formula over arbitrary number fields. The extent is the set of those automorphic vectors which are not necessarily s…
Applications of the Kuznetsov formula on GL(3)
Valentin Blomer
We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behaviour of the test functions on both sides. Applications to Weyl's law, exceptional eigenvalues,…