TY  - JOUR
AU  - Hofmann, Tamás
AU  - Albert, Levente
AU  - Németh, László
AU  - Vršanská, Martina
AU  - Schlosserová, Nikola
AU  - Voběrková, Stanislava
AU  - Visiné Rajczi, Eszter
TI  - Antioxidant and Antibacterial Properties of Norway Spruce (Picea abies H. Karst.) and Eastern Hemlock (Tsuga canadensis (L.) Carrière) Cone Extracts
JF  - FORESTS
J2  - FORESTS
VL  - 12
PY  - 2021
IS  - 9
SP  - 1189
PG  - 22
SN  - 1999-4907
DO  - 10.3390/f12091189
UR  - https://m2.mtmt.hu/api/publication/32174525
ID  - 32174525
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Simonyi, Károly
ED  - Csanády, Etele (id.) / Collected by
AU  - Csanády, Viktória / Source edition author
AU  - Csanády, Etele / Source edition author
TI  - Elektrotechnika I.
PB  - Magánkiadás (nemzetközi)
CY  - Sopron
PY  - 2021
SP  - 384
SN  - 9786150118970
UR  - https://m2.mtmt.hu/api/publication/32154674
ID  - 32154674
N1  - Az 1950-ben készített Simonyi Károly egyetemi tanár előadásai alapján készült kézírásos jegyzet nyomtatott változata.
LA  - Hungarian
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luca, Florian
AU  - Pethő, Attila
AU  - Szalay, László
TI  - Duplications in the k-generalized Fibonacci sequences
JF  - NEW YORK JOURNAL OF MATHEMATICS
J2  - NEW YORK J MATH
VL  - 27
PY  - 2021
SP  - 1115
EP  - 1133
PG  - 19
SN  - 1076-9803
UR  - https://m2.mtmt.hu/api/publication/32123661
ID  - 32123661
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Németh, László
AU  - Szalay, László
TI  - Sequences Involving Square Zig-Zag Shapes
JF  - JOURNAL OF INTEGER SEQUENCES
J2  - J INTEGER SEQ
VL  - 24
PY  - 2021
IS  - 5
SN  - 1530-7638
UR  - https://m2.mtmt.hu/api/publication/32078914
ID  - 32078914
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Csiba, Peter
AU  - Németh, László
TI  - Some Properties of the Exeter Transformation
JF  - MATHEMATICS
J2  - MATHEMATICS-BASEL
VL  - 9
PY  - 2021
IS  - 7
PG  - 13
SN  - 2227-7390
DO  - 10.3390/math9070721
UR  - https://m2.mtmt.hu/api/publication/31957505
ID  - 31957505
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luca, F.
AU  - Pongsriiam, P.
AU  - Szalay, László
TI  - On the divisibility Fk|Fx2 + Fx + 1
JF  - SCIENCEASIA
J2  - SCIENCEASIA
VL  - 47
PY  - 2021
IS  - 1
SP  - 106
EP  - 110
PG  - 5
SN  - 1513-1874
DO  - 10.2306/scienceasia1513-1874.2021.005
UR  - https://m2.mtmt.hu/api/publication/31951389
ID  - 31951389
AB  - 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}.
LA  - English
DB  - MTMT
ER  - 

TY  - CONF
AU  - Szalay, László
TI  - Identities involvong two or more linear recurrences
T2  - International webinar on recent developments in number theory - 2020
C1  - Bhubaneswar
PY  - 2020
SP  - 0
UR  - https://m2.mtmt.hu/api/publication/33204668
ID  - 33204668
LA  - English
DB  - MTMT
ER  - 

TY  - CONF
AU  - Szalay, László
TI  - On a Fibonacci divisibility property
T2  - Number Theory Down Under 8 - Schedule and Abstracts
C1  - Melbourne
PY  - 2020
SP  - 0
UR  - https://m2.mtmt.hu/api/publication/33204664
ID  - 33204664
LA  - English
DB  - MTMT
ER  - 

TY  - CONF
AU  - Soumeya, M. Tebtoub
AU  - Hacène, Belbachir
AU  - Németh, László
ED  - Miguel, Couceiro
ED  - Pierre, Monnin
ED  - Amedeo, Napoli
TI  - Integer sequences and ellipse chains inside a hyperbola
T2  - Proceedings of the 1st International Conference on Algebras, Graphs and Ordered Sets (ALGOS 2020)
PB  - Centre pour la Communication Scientifique Directe (CCSD)
PY  - 2020
SP  - 17
EP  - 18
PG  - 2
UR  - https://m2.mtmt.hu/api/publication/31922188
ID  - 31922188
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Németh, László
AU  - Szalay, László
AU  - Nagy, Zsolt
TI  - Dimenziók. Matematikai Közlemények
TS  - Matematikai Közlemények
PY  - 2020
UR  - https://m2.mtmt.hu/api/publication/31798065
ID  - 31798065
LA  - Hungarian
DB  - MTMT
ER  -