Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Magdaléna Tinková"'
Autor:
Magdaléna Tinková, Paul Voutier
Publikováno v:
Journal of Number Theory. 212:458-482
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 squarefree integer. Their conjecture was later disproved by Kala for D ≡ 2 mod 4 . We investigate such ind
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3be3ac9ffcbdc36126ee6d4b048d95b
https://doi.org/10.1016/j.jnt.2019.11.005
https://doi.org/10.1016/j.jnt.2019.11.005
Autor:
Magdaléna Tinková
We study the structure of the codifferent and of additively indecomposable integers in families of totally real cubic fields. We prove that for cubic orders in these fields, the minimal trace of indecomposable integers multiplied by totally positive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::430f639501f21394f989e5c53a81b724
http://arxiv.org/abs/2105.04204
http://arxiv.org/abs/2105.04204
Publikováno v:
Association for Women in Mathematics Series ISBN: 9783030776992
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e49cd5c167f6198b1248f1f4c5721ab2
https://doi.org/10.1007/978-3-030-77700-5_7
https://doi.org/10.1007/978-3-030-77700-5_7
Publikováno v:
Journal of Number Theory
We say that a prime number $p$ is an $\textit{Artin prime}$ for $g$ if $g$ mod $p$ generates the group $(\mathbb{Z}/p\mathbb{Z})^{\times}$. For appropriately chosen integers $d$ and $g$, we present a conjecture for the asymptotic number $\pi_{d,g}(x)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f70564f4dee57834765203057d985af
We study totally positive definite quadratic forms over the ring of integers $\mathcal{O}_K$ of a totally real biquadratic field $K=\mathbb{Q}(\sqrt{m}, \sqrt{s})$. We restrict our attention to classical forms (i.e., those with all non-diagonal coeff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a724c430bebef7bdc4f63f642dd36ec
http://arxiv.org/abs/1909.05422
http://arxiv.org/abs/1909.05422
The aim of this article is to study (additively) indecomposable algebraic integers $\mathcal O_K$ of biquadratic number fields $K$ and universal totally positive quadratic forms with coefficients in $\mathcal O_K$. There are given sufficient conditio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e900a3e0c1814d33de3dac5b3f0aae7f
Autor:
Tinková, Magdaléna
Publikováno v:
Ramanujan Journal; Aug2023, Vol. 61 Issue 4, p1121-1144, 24p
Autor:
Čech, Martin1, Lachman, Dominik1, Svoboda, Josef1, Tinková, Magdaléna1 tinkova.magdalena@gmail.com, Zemková, Kristýna1
Publikováno v:
Mathematische Nachrichten. Mar2019, Vol. 292 Issue 3, p540-555. 16p.
This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of