TY  - JOUR
AU  - Gaál, István
TI  - Calculating generators of power integral bases in pure sextic fields
JF  - FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI
J2  - FUNCT APPROX COMMENT MATH
VL  - 70
PY  - 2024
IS  - 1
SP  - 85
EP  - 100
PG  - 16
SN  - 0208-6573
DO  - 10.7169/facm/2111
UR  - https://m2.mtmt.hu/api/publication/34788978
ID  - 34788978
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Lhoussain, El Fadil
AU  - Gaál, István
TI  - On the monogenity of quartic number fields defined by $x<SUP>4</SUP>+ax<SUP>2</SUP>+b$
PY  - 2024
PG  - 23
UR  - https://m2.mtmt.hu/api/publication/34788959
ID  - 34788959
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bertók, Csanád
AU  - Hajdu, Lajos
TI  - The resolution of three exponential Diophantine equations in several variables
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 260
PY  - 2024
SP  - 29
EP  - 40
PG  - 12
SN  - 0022-314X
DO  - 10.1016/j.jnt.2024.01.009
UR  - https://m2.mtmt.hu/api/publication/34781671
ID  - 34781671
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pintér, Ákos
AU  - Rakaczki, Csaba
TI  - Indecomposability of mixed linear combinations of Bernoulli and Euler polynomials
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 104
PY  - 2024
IS  - 1-2
SP  - 159
EP  - 170
PG  - 12
SN  - 0033-3883
DO  - 10.5486/PMD.2024.9653
UR  - https://m2.mtmt.hu/api/publication/34644444
ID  - 34644444
LA  - English
DB  - MTMT
ER  - 

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  - Bazsó, András
TI  - Effective results for polynomial values of (alternating) power sums of arithmetic progressions
JF  - PERIODICA MATHEMATICA HUNGARICA
J2  - PERIOD MATH HUNG
VL  - 2023
PY  - 2023
SP  - 1
SN  - 0031-5303
UR  - https://m2.mtmt.hu/api/publication/34071125
ID  - 34071125
N1  - megj. alatt
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Tijdeman, Robert
AU  - Varga, Nóra
TI  - On polynomials with only rational roots
JF  - MATHEMATIKA
J2  - MATHEMATIKA
VL  - 69
PY  - 2023
IS  - 3
SP  - 867
EP  - 878
PG  - 12
SN  - 0025-5793
DO  - 10.1112/mtk.12209
UR  - https://m2.mtmt.hu/api/publication/34069923
ID  - 34069923
AB  - In this paper, we study upper bounds for the degrees of polynomials with only rational roots. First, we assume that the coefficients are bounded. In the second theorem, we suppose that the primes 2 and 3 do not divide any coefficient. The third theorem concerns the case that all coefficients are composed of primes from a fixed finite set.
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  - Gaál, István
AU  - Remete, László
TI  - On the monogenity of pure quartic relative extensions of Q(i)
JF  - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)
J2  - ACTA SCI MATH (SZEGED)
VL  - 89
PY  - 2023
IS  - 3-4
SP  - 357
EP  - 371
PG  - 15
SN  - 0001-6969
DO  - 10.1007/s44146-023-00092-9
UR  - https://m2.mtmt.hu/api/publication/34039284
ID  - 34039284
AB  - We consider pure quartic relative extensions of the number field {{\mathbb {Q}}}(i) Q ( i ) of type K={{\mathbb {Q}}}(\root 4 \of {a+bi}) K = Q ( a + b i 4 ) , where a,b\in {{\mathbb {Z}}} a , b ∈ Z and b\ne 0 b ≠ 0 , such that a+bi\in {{\mathbb {Z}}}[i] a + b i ∈ Z [ i ] is square-free. We describe integral bases of these fields. The index form equation is reduced to a relative cubic Thue equation over {{\mathbb {Q}}}(i) Q ( i ) and some corresponding quadratic form equations. We consider monogenity of K and relative monogenity of K over {{\mathbb {Q}}}(i) Q ( i ) . We shall show how our former method based on the factors of the index form can be used in the relative case to exclude relative monogenity in some cases.
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Arnóczki, Tímea
TI  - Algebrai számelméleti és leszámláló kombinatorikai vizsgálatok
PY  - 2023
SP  - 112
UR  - https://m2.mtmt.hu/api/publication/34035822
ID  - 34035822
LA  - Hungarian
DB  - MTMT
ER  -