Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Attila Bérczes"'
Publikováno v:
Mathematics, Vol 12, Iss 12, p 1814 (2024)
In recent years, convolutional neural networks (CNNs) have emerged as highly efficient architectures for image and audio classification tasks, gaining widespread adoption in state-of-the-art methodologies. While CNNs excel in machine learning scenari
Externí odkaz:
https://doaj.org/article/b82771c911b04758a8a2d5dc1670bea8
Publikováno v:
Results in Mathematics. 78
There are many results in the literature concerning linear combinations of factorials among terms of linear recurrence sequences. Recently, Grossman and Luca provided effective bounds for such terms of binary recurrence sequences. In this paper we sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24c50925c1fce0a5baadee5ca8caf906
https://doi.org/10.1007/s00025-023-01871-0
https://doi.org/10.1007/s00025-023-01871-0
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 29:93-105
Let ℕ be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x2 − y2m = zn , x, y, z, m, n ∈ ℕ, gcd(x, y) = 1, m ≥ 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d84782f94d5018f6679edbb3210bea8
https://doi.org/10.2478/auom-2021-0020
https://doi.org/10.2478/auom-2021-0020
Publikováno v:
International Mathematics Research Notices. 2021:9045-9082
We study multiplicative dependence between elements in orbits of algebraic dynamical systems over number fields modulo a finitely generated multiplicative subgroup of the field. We obtain a series of results, many of which may be viewed as a blend of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ac00fe1af573433c00c16bf0551877c
https://doi.org/10.1093/imrn/rnz091
https://doi.org/10.1093/imrn/rnz091
Publikováno v:
Journal of Number Theory. 196:353-363
In this paper we give various finiteness results concerning terms of recurrence sequences U n representable as a sum of S-units with a fixed number of terms. We prove that under certain (necessary) conditions, the number of indices n for which U n al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd25ca585ce8e38c81aac3926cf16a8b
https://doi.org/10.1016/j.jnt.2018.10.009
https://doi.org/10.1016/j.jnt.2018.10.009
Publikováno v:
Acta Arithmetica. 190:339-350
Extending earlier research of Erdos and Graham, we consider the problem of products of factorials yielding perfect powers. On the one hand, we describe how the representability of ℓ-th powers behaves when the number of factorials is smaller than, e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e34088f9d957680d833eed39795a711
https://doi.org/10.4064/aa171008-16-10
https://doi.org/10.4064/aa171008-16-10
Publikováno v:
Glasnik matematički
Volume 55
Issue 1
Volume 55
Issue 1
We investigate the power and polynomial values of the polynomials Pn(X) = ∏nk=0 (X2 · 3k - X3k - 1 ) for n ∈ ℕ. We prove various ineffective and effective finiteness results. In the case 0≤ n ≤ 3, we determine all pairs x,y of integers suc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f1ae255b52b5524714386610b6c72c4
https://hrcak.srce.hr/239039
https://hrcak.srce.hr/239039
Publikováno v:
Journal of Number Theory. 183:326-351
In this work, we give upper bounds for n on the title equation. Our results depend on assertions describing the precise exponents of 2 and 3 appearing in the prime factorization of T k ( x ) = ( x + 1 ) k + ( x + 2 ) k + . . . + ( 2 x ) k . Further,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccd72bdee41ef2854c8f8447d6aa3d4a
https://doi.org/10.1016/j.jnt.2017.07.020
https://doi.org/10.1016/j.jnt.2017.07.020
Publikováno v:
2019 10th IEEE International Conference on Cognitive Infocommunications (CogInfoCom).
We analyze a database containing medical data of patients who suffered hemorrhagic stroke. From the original database we built the corresponding comorbidities network, and we analyzed this network using a graph theoretical approach. Our main tool was
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0182248957ba1c3333911a75e4d9992b
https://doi.org/10.1109/coginfocom47531.2019.9089931
https://doi.org/10.1109/coginfocom47531.2019.9089931
Publikováno v:
Journal of Number Theory. 163:43-60
We provide all solutions of the title equation in positive integers x , k , y , n with 1 ≤ x 25 and n ≥ 3 . For these values of the parameters, our result gives an affirmative answer to a related, classical conjecture of Schaffer. In our proofs w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28c98b2a3120fee0d8c60f6b155626d3
https://doi.org/10.1016/j.jnt.2015.11.008
https://doi.org/10.1016/j.jnt.2015.11.008