P. Kutas

activity

20172023

collaborators

3 papers

math.NT2023

Efficient computations in central simple algebras using Amitsur cohomology

Péter Kutas, Mickaël Montessinos

We present an efficient computational representation of central simple algebras using Brauer factor sets. Using this representation and polynomial quantum algorithms for number the…

math.NT2022

Finding nontrivial zeros of quadratic forms over rational function fields of characteristic 2

Tímea Csahók, Péter Kutas, Mickaël Montessinos +1

We propose polynomial-time algorithms for finding nontrivial zeros of quadratic forms with four variables over rational function fields of characteristic 2. We apply these results…

math.RA2017

Algebraic conditions for additive functions over the reals and over finite fields

Péter Kutas

Let $C$ be an affine plane curve. We consider additive functions $f : K \to K$ for which $f (x) f (y) = 0$ , whenever $(x, y) \in C$ . We show that if $K = R$ and $C$ is the hy…