@article{MTMT:32174525, title = {Antioxidant and Antibacterial Properties of Norway Spruce (Picea abies H. Karst.) and Eastern Hemlock (Tsuga canadensis (L.) Carrière) Cone Extracts}, url = {https://m2.mtmt.hu/api/publication/32174525}, author = {Hofmann, Tamás and Albert, Levente and Németh, László and Vršanská, Martina and Schlosserová, Nikola and Voběrková, Stanislava and Visiné Rajczi, Eszter}, doi = {10.3390/f12091189}, journal-iso = {FORESTS}, journal = {FORESTS}, volume = {12}, unique-id = {32174525}, issn = {1999-4907}, year = {2021}, eissn = {1999-4907}, pages = {1189-1211}, orcid-numbers = {Németh, László/0000-0001-9062-9280} } @book{MTMT:32154674, title = {Elektrotechnika I.}, url = {https://m2.mtmt.hu/api/publication/32154674}, isbn = {9786150118970}, author = {Simonyi, Károly}, publisher = {Magánkiadás (nemzetközi)}, unique-id = {32154674}, year = {2021} } @article{MTMT:32123661, title = {Duplications in the k-generalized Fibonacci sequences}, url = {https://m2.mtmt.hu/api/publication/32123661}, author = {Luca, Florian and Pethő, Attila and Szalay, László}, journal-iso = {NEW YORK J MATH}, journal = {NEW YORK JOURNAL OF MATHEMATICS}, volume = {27}, unique-id = {32123661}, issn = {1076-9803}, abstract = {Let k >= 3 be an odd integer. Consider the k-generalized Fibonacci sequence backward. The characteristic polynomial of this sequence has no dominating zero, therefore the application of Baker's method becomes more difficult. In this paper, we investigate the coincidence of the absolute values of two terms. The principal theorem gives a lower bound for the difference of two terms (in absolute value) if the larger subscript of the two terms is large enough. A corollary of this theorem makes possible to bound the coincidences in the sequence. The proof essentially depends on the structure of the zeros of the characteristic polynomial, and on the application of linear forms in the logarithms of algebraic numbers. Then we reduced the theoretical bound in practice for 3 <= k <= 99, and determined all the coincidences in the corresponding sequences. Finally, we explain certain patterns of pairwise occurrences in each sequence depending on k if k exceeds a suitable entry value associated to the pair.}, keywords = {k-generalized Fibonacci sequence}, year = {2021}, pages = {1115-1133} } @article{MTMT:32078914, title = {Sequences Involving Square Zig-Zag Shapes}, url = {https://m2.mtmt.hu/api/publication/32078914}, author = {Németh, László and Szalay, László}, journal-iso = {J INTEGER SEQ}, journal = {JOURNAL OF INTEGER SEQUENCES}, volume = {24}, unique-id = {32078914}, keywords = {recurrence sequence; zig-zag diagraph; zig-zag sequence}, year = {2021}, eissn = {1530-7638}, orcid-numbers = {Németh, László/0000-0001-9062-9280} } @article{MTMT:31957505, title = {Some Properties of the Exeter Transformation}, url = {https://m2.mtmt.hu/api/publication/31957505}, author = {Csiba, Peter and Németh, László}, doi = {10.3390/math9070721}, journal-iso = {MATHEMATICS-BASEL}, journal = {MATHEMATICS}, volume = {9}, unique-id = {31957505}, year = {2021}, eissn = {2227-7390}, orcid-numbers = {Csiba, Peter/0000-0002-3293-9149; Németh, László/0000-0001-9062-9280} } @article{MTMT:31951389, title = {On the divisibility Fk|Fx2 + Fx + 1}, url = {https://m2.mtmt.hu/api/publication/31951389}, author = {Luca, F. and Pongsriiam, P. and Szalay, László}, doi = {10.2306/scienceasia1513-1874.2021.005}, journal-iso = {SCIENCEASIA}, journal = {SCIENCEASIA}, volume = {47}, unique-id = {31951389}, issn = {1513-1874}, abstract = {Let F-n and L-n be the nth Fibonacci and Lucas numbers, respectively. We show that if F-k vertical bar F-x(2) + F-x + 1, then k is an element of{4,7}; if L-k vertical bar F-x(2) + F-x + 1, then k is an element of {2, 4}.}, keywords = {FACTORIZATION; Diophantine equation; Divisibility; Fibonacci number; Lucas number}, year = {2021}, pages = {106-110} } @CONFERENCE{MTMT:33204668, title = {Identities involvong two or more linear recurrences}, url = {https://m2.mtmt.hu/api/publication/33204668}, author = {Szalay, László}, booktitle = {International webinar on recent developments in number theory - 2020}, unique-id = {33204668}, year = {2020}, pages = {0} } @CONFERENCE{MTMT:33204664, title = {On a Fibonacci divisibility property}, url = {https://m2.mtmt.hu/api/publication/33204664}, author = {Szalay, László}, booktitle = {Number Theory Down Under 8 - Schedule and Abstracts}, unique-id = {33204664}, year = {2020}, pages = {0} } @CONFERENCE{MTMT:31922188, title = {Integer sequences and ellipse chains inside a hyperbola}, url = {https://m2.mtmt.hu/api/publication/31922188}, author = {Soumeya, M. Tebtoub and Hacène, Belbachir and Németh, László}, booktitle = {Proceedings of the 1st International Conference on Algebras, Graphs and Ordered Sets (ALGOS 2020)}, unique-id = {31922188}, year = {2020}, pages = {17-18}, orcid-numbers = {Németh, László/0000-0001-9062-9280} } @misc{MTMT:31798065, title = {Dimenziók. Matematikai Közlemények}, url = {https://m2.mtmt.hu/api/publication/31798065}, author = {Németh, László and Szalay, László and Nagy, Zsolt}, unique-id = {31798065}, year = {2020}, orcid-numbers = {Németh, László/0000-0001-9062-9280} }