1 citations · 2 across the 5 of their papers we have counts for
6 papers
Matrix Kloosterman sums modulo prime powers
Márton Erdélyi, Árpád Tóth, Gergely Zábrádi
We give optimal bounds for matrix Kloosterman sums modulo prime powers extending earlier work of the first two authors on the case of prime moduli. These exponential sums arise in…
Matrix Kloosterman sums
Márton Erdélyi, Árpád Tóth
We study a family of exponential sums that arises in the study of the horocyclic flow on . We prove an explicit version of general purity and find optimal bounds for…
Estimates on the zeros of
Özlem Imamoglu, Jonas Jermann, Árpád Tóth
We improve the results from [EBS10] about the Eisenstein series . In particular we show that there exists exactly one (simple) zero…
Covering locally compact groups by less than $2^\om$ many translates of a compact nullset
Márton Elekes, Árpád Tóth
Gruenhage asked if it was possible to cover the real line by less than continuum many translates of a compact nullset. Under the Continuum Hypothesis the answer is obviously negati…
Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces
Arpad Toth, Dror Varolin
The density property for a Stein manifold X implies that the group of holomorphic diffeomorphisms of X is infinite-dimensional and, in a certain well-defined sense, as large as pos…
The splitting of primes in division fields of elliptic curves
William Duke, Arpad Toth
In this paper we will give a global description of the Frobenius for the division fields of an elliptic curve E which is strictly analogous to the cyclotomic case. This is then app…