TY  - JOUR
AU  - Bérczes, Attila
AU  - Yann, Bugeaud
AU  - Győry, Kálmán
AU  - Jorge, Mello
AU  - Alina, Ostafe
AU  - Min, Sha
TI  - Explicit bounds for the solutions of superelliptic equations over number fields
JF  - FORUM MATHEMATICUM
J2  - FORUM MATH
VL  - 2024
PY  - 2024
SP  - 1
SN  - 0933-7741
DO  - 10.1515/forum-2023-0381
UR  - https://m2.mtmt.hu/api/publication/34742825
ID  - 34742825
N1  - megj. alatt
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Pethő, Attila
AU  - Szalay, László
TI  - Decomposable Forms Generated by Linear Recurrences
JF  - JOURNAL OF INTEGER SEQUENCES
J2  - J INTEGER SEQ
VL  - 27
PY  - 2024
IS  - 3
PG  - 19
SN  - 1530-7638
UR  - https://m2.mtmt.hu/api/publication/34742592
ID  - 34742592
AB  - Consider k ≥ 2 distinct, linearly independent, homogeneous linear recurrences of order k satisfying the same recurrence relation. We prove that the recurrences are related to a decomposable form of degree k, and there is a general identity with a suitable exponential expression depending on the recurrences. This identity is a common and very broad generalization of several known identities. Further, if the recurrences are integer sequences, then the diophantine equation associated with the decomposable form and the exponential term has infinitely many integer solutions generated by the terms of the recurrences. We describe a method for the complete factorization of the decomposable form. Both the form and its decomposition are explicitly given if k = 2, and we present a typical example for k = 3. The basic tool we use is the matrix method. © 2024, University of Waterloo. All rights reserved.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Le Fourn, Samuel
TI  - Improved bounds for some S-unit equations
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 2024
PY  - 2024
SP  - 1
SN  - 0065-1036
DO  - 10.4064/aa230530-24-8
UR  - https://m2.mtmt.hu/api/publication/34571695
ID  - 34571695
N1  - megj. alatt
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dujella, Andrej
AU  - Győry, Kálmán
AU  - P, Michaud-Jacobs
AU  - Pintér, Ákos
TI  - On power values of pyramidal numbers, II
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 208
PY  - 2023
IS  - 3
SP  - 199
EP  - 213
PG  - 15
SN  - 0065-1036
DO  - 10.4064/aa211213-27-7
UR  - https://m2.mtmt.hu/api/publication/34123940
ID  - 34123940
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Győry, Kálmán
AU  - Pethő, Attila
AU  - Szalay, László
TI  - Decomposable form generated by linear recurrences
PY  - 2023
UR  - https://m2.mtmt.hu/api/publication/34064562
ID  - 34064562
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (multiplicative decompositions)
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 210
PY  - 2023
SP  - 191
EP  - 204
PG  - 14
SN  - 0065-1036
DO  - 10.4064/aa220805-13-6
UR  - https://m2.mtmt.hu/api/publication/32844207
ID  - 32844207
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Manjul, Bhargava
AU  - Jan-Hendrik, Evertse
AU  - Győry, Kálmán
AU  - Remete, László
AU  - Ashvin, A. Swaminathan
TI  - Hermite equivalence of polynomials
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 209
PY  - 2023
SP  - 17
EP  - 58
PG  - 42
SN  - 0065-1036
DO  - 10.4064/aa211113-12-11
UR  - https://m2.mtmt.hu/api/publication/32337956
ID  - 32337956
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Samuel, Le Fourn
AU  - Győry, Kálmán
TI  - Improved bounds on some S-unit equations
PY  - 2022
UR  - https://m2.mtmt.hu/api/publication/34064339
ID  - 34064339
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Bérczes, Attila
AU  - Yann, Bugeaud
AU  - Győry, Kálmán
AU  - Jorge, Mello
AU  - Alina, Ostafe
AU  - Min, Sha
TI  - Multiplicative dependence of rational values modulo approximate finitely generated groups
PY  - 2022
UR  - https://m2.mtmt.hu/api/publication/33880992
ID  - 33880992
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Bollobás, Béla
AU  - Győry, Kálmán
TI  - Baker, Alan (1939–2018), mathematician
T2  - Oxford Dictionary of National Biography
PB  - Oxford University Press
CY  - Oxford
SN  - 9780198614128
PY  - 2022
DO  - 10.1093/odnb/9780198614128.013.90000380408
UR  - https://m2.mtmt.hu/api/publication/32844418
ID  - 32844418
LA  - English
DB  - MTMT
ER  -