M. Tinková

activity

20182020

most citedThere are no universal ternary quadratic forms over biquadratic fields

18 citations · 27 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2020

Artin Twin Primes

Magdaléna Tinková, Ezra Waxman, Mikuláš Zindulka

We say that a prime number $p$ is an $Artin prime$ for $g$ if $g$ mod $p$ generates the group $(Z / p Z)^{\times}$ . For appropriately chosen integers $d$ an…

math.NT2019★ 18 cited

There are no universal ternary quadratic forms over biquadratic fields

Jakub Krásenský, Magdaléna Tinková, Kristýna Zemková

We study totally positive definite quadratic forms over the ring of integers $O_{K}$ of a totally real biquadratic field $K = Q (m, s)$ . We restrict our…

math.NT2018★ 9 cited

Indecomposable integers in real quadratic fields

Magdaléna Tinková, Paul Voutier

In 2016, Jang and Kim stated a conjecture about the norms of indecomposable integers in real quadratic number fields $Q (D)$ where $D > 1$ is a squarefre…