4 citations · 4 across the 6 of their papers we have counts for
8 papers
Translation-invariant equations in and groups
Katalin Gyarmati
In this paper, we explore how large a subset of a finite group can be without containing non-trivial solutions to linear equations of the form (where ). Thes…
The Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless?
Katalin Gyarmati
We present a concise, elementary proof that the second smallest modulus of a covering system must be bounded, simplifying the known results through a maximality argument.
Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
Katalin Gyarmati
Starting with Ramanujan's famous taxicab problem, we can study the solvability of the equations and, more generally, among polynomia…
Bounded gaps and perfect power gaps in sequences of consecutive primes
Katalin Gyarmati
We study whether several consecutive prime gaps can all be relatively large at the same time, or is it possible that all are squares or perfect powers, or perhaps none of them are…
Erdős--Turán Theorem and Eulerian Integers
Erik Füredi, Katalin Gyarmati
Our work is motivated by the fact that the norms of the Eulerian integers are related to the sums of form , providing a natural generalization for problems concerning p…
On the pseudorandom properties of filtered Legendre symbol sequences using three polynomials
Katalin Gyarmati, Károly Müllner
The primary objective of this section is to demonstrate that the actual pseudorandom measures of our construction are significantly smaller than the theoretical upper bounds derive…