P. Kutas

activity

20152023

most citedComputing explicit isomorphisms with full matrix algebras over

F_{q} (x)

2 citations · 2 across the 6 of their papers we have counts for

collaborators

Showing math.RAShow all

4 papers · 1 filter

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…

math.RA2016

Explicit equivalence of quadratic forms over $F_{q} (t)$

Gábor Ivanyos, Péter Kutas, Lajos Rónyai

We propose a randomized polynomial time algorithm for computing nontrivial zeros of quadratic forms in 4 or more variables over $F_{q} (t)$ , where $F_{q}$ is a finite…

math.RA2016

Splitting quaternion algebras over quadratic number fields

Péter Kutas

We propose an algorithm for finding zero divisors in quaternion algebras over quadratic number fields, or equivalently, solving homogeneous quadratic equations in three variables o…

math.RA2015★ 2 cited

Computing explicit isomorphisms with full matrix algebras over $F_{q} (x)$

Gábor Ivanyos, Péter Kutas, Lajos Rónyai

We propose a polynomial time $f$ -algorithm (a deterministic algorithm which uses an oracle for factoring univariate polynomials over $F_{q}$ ) for computing an isomorphism (i…

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

Explicit equivalence of quadratic forms over Fq​(t)

Splitting quaternion algebras over quadratic number fields

Computing explicit isomorphisms with full matrix algebras over Fq​(x)

Explicit equivalence of quadratic forms over $F_{q} (t)$

Computing explicit isomorphisms with full matrix algebras over $F_{q} (x)$