13 citations · 33 across the 31 of their papers we have counts for
10 papers · 1 filter
On a question of Gowers related to Littlewood's conjecture
Frederik Broucke, Máté Matolcsi, Szilárd Gy. Révész
In a blogpost in 2009, Gowers raised a possible approach to Littlewood's conjecture in Diophantine approximation, leading to a question about the existence of sufficiently many poi…
New zero-density estimates for the Beurling function
Szilárd Gy. Révész, János Pintz
In two previous papers the second author proved some Carlson type density theorems for zeroes in the critical strip for Beurling zeta functions satisfying Axiom A of Knopfmacher. I…
Some examples of well-behaved Beurling number systems
Frederik Broucke, Gregory Debruyne, Szilárd Révész
We investigate the existence of well-behaved Beurling number systems, which are systems of Beurling generalized primes and integers which admit a power saving in the error term of…
The Carlson-type zero-density theorem for the Beurling zeta function
Szilárd Gy. Révész
In a previous paper we proved a Carlson type density theorem for zeroes in the critical strip for Beurling zeta functions satisfying Axiom A of Knopfmacher. There we needed to invo…
The method of Pintz for the Ingham question about the connection of distribution of -zeros and order of the error in the PNT in the Beurling context
Szilárd Gy. Révész
We prove two results, generalizing long existing knowledge regarding the classical case of the Riemann zeta function and some of its generalizations. These are concerned with the q…
Oscillation of the remainder term in the prime number theorem of Beurling, "caused by a given zeta-zero"
Szilárd Gy. Révész
Continuing previous study of the Beurling zeta function, here we prove two results, generalizing long existing knowledge regarding the classical case of the Riemann zeta function a…