TY  - GEN
AU  - Bazsó, András
AU  - Mező, István
AU  - Pintér, Ákos
AU  - Tengely, Szabolcs
TI  - Singmaster-type results for Stirling numbers and some related diophantine equations
PY  - 2023
PG  - 11
UR  - https://m2.mtmt.hu/api/publication/34406059
ID  - 34406059
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tengely, Szabolcs
AU  - Ulas, Maciej
TI  - Diophantine problems related to cyclic cubic and quartic fields
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 240
PY  - 2022
SP  - 656
EP  - 684
PG  - 29
SN  - 0022-314X
DO  - 10.1016/j.jnt.2022.01.003
UR  - https://m2.mtmt.hu/api/publication/33096654
ID  - 33096654
AB  - We are interested in solving the congruences f(3) + g(3) + 1 0 (mod fg) and f(4) - 4g(2) + 4 0 (mod fg) in polynomials f, g with rational coefficients. Moreover, we present results of computations of all integer points on certain one parametric curves of genus 1 and 3, related to cubic and quartic fields, respectively. Our approach is based on Grobner basis techniques and we do numerical experiences based on it. We mainly deal with the case deg f <= 2 and prove that there are no new families of cyclic cubic nor cyclic quartic fields. In case of cyclic quartic fields we obtained a new polynomial that was not discovered by Balady and Washington [2], it is given by t(4) + 7890798742t(3) - 37333446t(2) + 38618t + 1.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hashim, Hayder Raheem
AU  - Tengely, Szabolcs
TI  - Lucas sequences and repdigits
JF  - MATHEMATICA BOHEMICA
J2  - MATH BOHEMICA
VL  - 147
PY  - 2022
IS  - 3
SP  - 301
EP  - 318
PG  - 18
SN  - 0862-7959
DO  - 10.21136/MB.2021.0155-20
UR  - https://m2.mtmt.hu/api/publication/31854767
ID  - 31854767
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hashim, Hayder Raheem
AU  - Tengely, Szabolcs
AU  - Szalay, László
TI  - Markoff-Rosenberger triples and generalized Lucas sequences
JF  - PERIODICA MATHEMATICA HUNGARICA
J2  - PERIOD MATH HUNG
VL  - 85
PY  - 2022
IS  - 1
SP  - 188
EP  - 202
PG  - 13
SN  - 0031-5303
DO  - 10.1007/s10998-021-00430-w
UR  - https://m2.mtmt.hu/api/publication/31817441
ID  - 31817441
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Tengely, Szabolcs
TI  - Sorozatok a diofantikus számelméletben : MTA doktori értekezés tézisei
PY  - 2021
PG  - 39
UR  - https://m2.mtmt.hu/api/publication/34131657
ID  - 34131657
LA  - Hungarian
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tengely, Szabolcs
AU  - Ulas, Maciej
TI  - Equal values of certain partition functions via Diophantine equations
JF  - RESEARCH IN NUMBER THEORY
J2  - RESEARCH IN NUMBER THEORY
VL  - 7
PY  - 2021
IS  - 4
SN  - 2363-9555
DO  - 10.1007/s40993-021-00293-7
UR  - https://m2.mtmt.hu/api/publication/32464516
ID  - 32464516
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Tengely, Szabolcs
TI  - Sequences in diophantine number theory. a doctoral dissertation submitted to the Hungarian Academy of Sciences
TS  - a doctoral dissertation submitted to the Hungarian Academy of Sciences
PB  - Magyar Tudományos Akadémia (MTA)
PY  - 2021
SP  - 100
UR  - https://m2.mtmt.hu/api/publication/32073590
ID  - 32073590
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hashim, Hayder Raheem
AU  - Molnár, A.
AU  - Tengely, Szabolcs
TI  - Cryptanalysis of ITRU
JF  - RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI
J2  - RAD HRVAT AKAD ZNAN UMJET MAT ZNAN
VL  - 25
PY  - 2021
IS  - 546
SP  - 181
EP  - 193
PG  - 12
SN  - 1845-4100
DO  - 10.21857/yrvgqtexl9
UR  - https://m2.mtmt.hu/api/publication/31817706
ID  - 31817706
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Tengely, Szabolcs
TI  - Powers in arithmetic progressions
JF  - RAMANUJAN JOURNAL
J2  - RAMANUJAN J
VL  - 55
PY  - 2021
IS  - 3
SP  - 965
EP  - 986
PG  - 22
SN  - 1382-4090
DO  - 10.1007/s11139-020-00331-5
UR  - https://m2.mtmt.hu/api/publication/31617740
ID  - 31617740
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Tengely, Szabolcs
TI  - Lecture Notes on Cryptography
PB  - Debreceni Egyetem
CY  - Debrecen
PY  - 2020
SP  - 203
UR  - https://m2.mtmt.hu/api/publication/31914914
ID  - 31914914
LA  - English
DB  - MTMT
ER  -