Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Márton Szikszai"'
Autor:
Márton Szikszai, Volker Ziegler
Publikováno v:
Journal of Number Theory. 201:354-376
In this paper, we provide an effective and practical method to find all three term arithmetic progressions in a given Lucas sequence of the first or second kind. Our interest is the case when the sequence has a negative discriminant, since the case o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb6f11f3f8d9a9e20d628fb4d4c21da7
https://doi.org/10.1016/j.jnt.2019.02.015
https://doi.org/10.1016/j.jnt.2019.02.015
Autor:
Márton Szikszai, Carlo Sanna
Publikováno v:
Bulletin of the London Mathematical Society. 49:908-915
Let $f\in\mathbb{Z}[X]$ be quadratic or cubic polynomial. We prove that there exists an integer $G_f\geq 2$ such that for every integer $k\geq G_f$ one can find infinitely many integers $n\geq 0$ with the property that none of $f(n+1),f(n+2),\dots,f(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a3da3592b7a3dd82239617b1ef4aa6d
https://doi.org/10.1112/blms.12078
https://doi.org/10.1112/blms.12078
Publikováno v:
Bulletin of the Australian Mathematical Society. 94:395-404
Diophantine problems involving recurrence sequences have a long history and is an actively studied topic within number theory. In this paper, we connect to the field by considering the equation \begin{align*} B_mB_{m+d}\dots B_{m+(k-1)d}=y^\ell \end{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::587fe5c667853b872f37bc35e593c05a
https://doi.org/10.1017/s0004972716000332
https://doi.org/10.1017/s0004972716000332
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a561163dfb3e83f434ab5347b53bc0d
Autor:
Márton Szikszai, István Pink
Publikováno v:
Glasnik matematički
Volume 52
Issue 1
Volume 52
Issue 1
This paper deals with a Brocard-Ramanujan-type equation of the form un1un2 ⋯ unk+1=um2 in unknown nonnegative integers k,n1,n2, …,nk and m with k≥ 1, where u=(un)n=0∞ is either a Lucas sequence or its associated sequence. For certain infinite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21cff041e1d3fad1a5b7ad4821c429d9
https://hrcak.srce.hr/183119
https://hrcak.srce.hr/183119
Publikováno v:
Proceedings of the 9th International Conference on Applied Informatics, Volume 2.
In wireless communication networks, interference produced by simultaneous transmission of the undesired transmitters and useful signal sources is one of the central aspects in system designs, since it dominantly limits network performance. We sampled
Externí odkaz:
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https://doi.org/10.14794/icai.9.2014.2.195
https://doi.org/10.14794/icai.9.2014.2.195
Autor:
Márton Szikszai, Lajos Hajdu
We prove that for any elliptic divisibility sequence and any sufficiently large integer k, one can find k consecutive terms of the sequence such that none of these terms is coprime to all the others. In other words, elliptic divisibility sequences ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc9bbac99438ad1098f60c4018d68925