TY  - JOUR
AU  - MATOMAKI, K
AU  - RADZIWILL, M
AU  - SHAO, X
AU  - TAO, T
AU  - TERAVAINEN, J
TI  - SINGMASTER’S CONJECTURE IN THE INTERIOR OF PASCAL’S TRIANGLE
JF  - QUARTERLY JOURNAL OF MATHEMATICS
J2  - Q J MATH
VL  - 73
PY  - 2022
IS  - 3
SP  - 1137
EP  - 1177
PG  - 41
SN  - 0033-5606
DO  - 10.1093/qmath/haac006
UR  - https://m2.mtmt.hu/api/publication/32740282
ID  - 32740282
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Gallegos-Ruiz, H.R.
AU  - Katsipis, N.
AU  - Tengely, Szabolcs
AU  - Ulas, M.
TI  - On the Diophantine equation ( n k ) = ( m l ) + d
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 208
PY  - 2020
SP  - 418
EP  - 440
PG  - 23
SN  - 0022-314X
DO  - 10.1016/j.jnt.2019.08.007
UR  - https://m2.mtmt.hu/api/publication/30806148
ID  - 30806148
AB  - By finding all integral points on certain elliptic and hyperelliptic curves we completely solve the Diophantine equation (nk)=(ml)+d for −3≤d≤3 and (k,l)∈{(2,3),(2,4),(2,5),(2,6),(2,8),(3,4),(3,6),(4,6),(4,8)}. Moreover, we present some other observations of computational and theoretical nature concerning the title equation.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Varga, Nóra
TI  - Polynomial values of figurate numbers
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 214
PY  - 2020
SP  - 79
EP  - 99
PG  - 21
SN  - 0022-314X
DO  - 10.1016/j.jnt.2020.04.021
UR  - https://m2.mtmt.hu/api/publication/31382743
ID  - 31382743
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Gómez, Carlos A.
AU  - Luca, Florian
TI  - Zeckendorf representations with at most two terms to x-coordinates of Pell equations
JF  - SCIENCE CHINA MATHEMATICS
J2  - SCI CHINA MATH
VL  - 63
PY  - 2019
SP  - 627
EP  - 642
PG  - 16
SN  - 1674-7283
DO  - 10.1007/s11425-017-9283-6
UR  - https://m2.mtmt.hu/api/publication/30462516
ID  - 30462516
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - HR, Gallegos-Ruiz
AU  - N, Katsipis
AU  - S, Tengely
AU  - M, Ulas
TI  - On the Diophantine equation $\binom {n}{k}=\binom {m}{l}+ d$
PY  - 2019
UR  - https://m2.mtmt.hu/api/publication/30719729
ID  - 30719729
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Mező, István
TI  - Combinatorics and Number Theory of Counting Sequences
PB  - Chapman and Hall/CRC
CY  - Boca Raton, Florida
PY  - 2019
SN  - 1138564850
DO  - 10.1201/9781315122656
UR  - https://m2.mtmt.hu/api/publication/32844132
ID  - 32844132
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Blockhuis, A
AU  - Brouwer, A
AU  - de Weger, B
TI  - Binomial collisions and near collisions
PY  - 2017
UR  - https://m2.mtmt.hu/api/publication/26717095
ID  - 26717095
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Péter, Gyöngyvér
TI  - Diophantine equations with separable variables
PB  - Debreceni Egyetem Természettudományi Kar
PY  - 2017
SP  - 85
UR  - https://m2.mtmt.hu/api/publication/26402685
ID  - 26402685
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Jenkins, H
TI  - REPEATED BINOMIAL COEFFICIENTS AND HIGH-DEGREE CURVES
JF  - INTEGERS
J2  - INTEGERS
VL  - 16
PY  - 2016
PG  - 14
SN  - 1867-0652
UR  - https://m2.mtmt.hu/api/publication/26121404
ID  - 26121404
N1  - Megjegyzés-26121554
http://www.integers-ejcnt.org/vol16.html
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Varga, Nóra
TI  - Figurális számok és diofantikus egyenletek
PY  - 2016
SP  - 88
UR  - https://m2.mtmt.hu/api/publication/3116430
ID  - 3116430
LA  - Hungarian
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Kovács, Tünde
AU  - Péter, Gyöngyvér
AU  - Pintér, Ákos
TI  - Equal values of standard counting polynomials
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 84
PY  - 2014
IS  - 1-2
SP  - 259
EP  - 277
PG  - 19
SN  - 0033-3883
DO  - 10.5486/PMD.2014.5956
UR  - https://m2.mtmt.hu/api/publication/2404711
ID  - 2404711
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Pintér, Ákos
AU  - Tengely, Szabolcs
AU  - Varga, Nóra
TI  - Equal values of figurate numbers
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 137
PY  - 2014
SP  - 130
EP  - 141
PG  - 12
SN  - 0022-314X
DO  - 10.1016/j.jnt.2013.10.017
UR  - https://m2.mtmt.hu/api/publication/2305480
ID  - 2305480
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kovács, Tünde
AU  - Péter, Gyöngyvér
AU  - Varga, Nóra
TI  - On some polynomial values of repdigit numbers
JF  - PERIODICA MATHEMATICA HUNGARICA
J2  - PERIOD MATH HUNG
VL  - 67
PY  - 2013
IS  - 2
SP  - 221
EP  - 230
PG  - 10
SN  - 0031-5303
DO  - 10.1007/s10998-013-1396-7
UR  - https://m2.mtmt.hu/api/publication/1989302
ID  - 1989302
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Liptai, Kálmán
TI  - (a,b)-type balancing numbers
JF  - SURIKAISEKIKENKYUSHO KOKYUROKU / RIMS KOKYUROKU
J2  - RIMS KOKYUROKU
VL  - 1874
PY  - 2013
SP  - 115
EP  - 124
PG  - 10
SN  - 1880-2818
UR  - https://m2.mtmt.hu/api/publication/3058935
ID  - 3058935
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Varga, Nóra
AU  - Kovács, Tünde
AU  - Péter, Gyöngyvér
TI  - On Some Polynomial Values of Repdigit Numbers
JF  - ELECTRONIC NOTES IN DISCRETE MATHEMATICS
J2  - ELECTRON NOTES DISCRETE MATH
VL  - 43
PY  - 2013
SP  - 417
EP  - 423
PG  - 7
SN  - 1571-0653
DO  - 10.1016/j.endm.2013.07.061
UR  - https://m2.mtmt.hu/api/publication/2507788
ID  - 2507788
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ferenczik, Judit
AU  - Pintér, Ákos
AU  - Porvázsnyik, Bettina
TI  - On Equal Values of Stirling Numbers of the Second Kind
JF  - APPLIED MATHEMATICS AND COMPUTATION
J2  - APPL MATH COMPUT
VL  - 218
PY  - 2011
IS  - 3
SP  - 980
EP  - 984
PG  - 5
SN  - 0096-3003
DO  - 10.1016/j.amc.2011.01.088
UR  - https://m2.mtmt.hu/api/publication/1448236
ID  - 1448236
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Liptai, Kálmán
TI  - Balansz számok általánosításai
PY  - 2011
UR  - https://m2.mtmt.hu/api/publication/21343670
ID  - 21343670
LA  - Hungarian
DB  - MTMT
ER  - 

TY  - THES
AU  - Kovács, Tünde
TI  - Combinatorial Diophantine equations
PB  - Debreceni Egyetem
PY  - 2011
SP  - 104
UR  - https://m2.mtmt.hu/api/publication/1989297
ID  - 1989297
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - He, D
AU  - Chen, J
AU  - Wang, Y
TI  - On Diophantine equation 3a^2 x^4 − By^2 = 1
JF  - ANNALI DI MATEMATICA PURA ED APPLICATA
J2  - ANN MAT PUR APPL
VL  - 189
PY  - 2010
IS  - 4
SP  - 679
EP  - 687
PG  - 9
SN  - 0373-3114
DO  - 10.1007/s10231-010-0131-8
UR  - https://m2.mtmt.hu/api/publication/24528297
ID  - 24528297
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kovács, Tünde
AU  - Liptai, Kálmán
AU  - Olajos, Péter
TI  - On (a,b)-balancing numbers
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 77
PY  - 2010
IS  - 3-4
SP  - 485
EP  - 498
PG  - 14
SN  - 0033-3883
DO  - 10.5486/PMD.2010.4857
UR  - https://m2.mtmt.hu/api/publication/1419242
ID  - 1419242
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Olajos, Péter
TI  - Properties of balancing, cobalancing and generalized balancing numbers
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 37
PY  - 2010
SP  - 125
EP  - 138
PG  - 14
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/1944862
ID  - 1944862
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Tengely, Szabolcs
TI  - Algebrai görbék a diofantikus számelméletben
PY  - 2010
SP  - 215
UR  - https://m2.mtmt.hu/api/publication/1800026
ID  - 1800026
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Zhu, Hui-Lin
TI  - A New Proof of Diophantine Equation binom(x,4)=binom(y,2)
JF  - Communications in Mathematical Research
J2  - Communications in Mathematical Research
VL  - 25
PY  - 2009
SP  - 282
EP  - 288
PG  - 7
SN  - 1674-5647
UR  - https://m2.mtmt.hu/api/publication/20815665
ID  - 20815665
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bugeaud, Y
AU  - Mignotte, M
AU  - Siksek, S
AU  - Stoll, M
AU  - Tengely, Szabolcs
TI  - Integral points on hyperelliptic curves
JF  - ALGEBRA AND NUMBER THEORY
J2  - ALGEBR NUMBER THEORY
VL  - 2
PY  - 2008
IS  - 8
SP  - 859
EP  - 885
PG  - 27
SN  - 1937-0652
DO  - 10.2140/ant.2008.2.859
UR  - https://m2.mtmt.hu/api/publication/1108521
ID  - 1108521
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kovács, Tünde
TI  - Combinatorial Diophantine equations - the genus 1 case
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 72
PY  - 2008
SP  - 243
EP  - 255
PG  - 13
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/1419204
ID  - 1419204
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Guy, RK
TI  - Unsolved problems in number theory
T3  - Problem Books in Mathematics ; 1.
ET  - 0
PB  - Springer Netherlands
CY  - New York, New York
PY  - 2004
SP  - 455
SN  - 9780387208602
UR  - https://m2.mtmt.hu/api/publication/20300155
ID  - 20300155
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Rakaczki, Csaba
TI  - Binomiális együtthatókkal és hatványösszegekkel kapcsolatos diofantikus eredmények
PB  - Debreceni Egyetem
PY  - 2004
UR  - https://m2.mtmt.hu/api/publication/20296792
ID  - 20296792
N1  - Megjegyzés-20296896
Debrecen
LA  - Hungarian
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rakaczki, Csaba
TI  - On the diophantine equation $F\left({x\choose n}\right)=b{y\choose m}$
JF  - PERIODICA MATHEMATICA HUNGARICA
J2  - PERIOD MATH HUNG
VL  - 49
PY  - 2004
SP  - 119
EP  - 132
PG  - 14
SN  - 0031-5303
UR  - https://m2.mtmt.hu/api/publication/1076141
ID  - 1076141
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Stoll, T
AU  - Tichy, RF
TI  - The Diophantine equation alpha((x)(m)) + beta((y)(n))= gamma
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 64
PY  - 2004
IS  - 1-2
SP  - 155
EP  - 165
PG  - 11
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/20296778
ID  - 20296778
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rakaczki, Csaba
TI  - On the diophantine equation $x(x-1)\cdots (x-(m-1))=\lambda y(y-1)\cdots (y-(n-1))+l$
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 110
PY  - 2003
IS  - 4
SP  - 339
EP  - 360
PG  - 22
SN  - 0065-1036
DO  - 10.4064/aa110-4-3
UR  - https://m2.mtmt.hu/api/publication/1076136
ID  - 1076136
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - T, Stoll
TI  - Finiteness Results for Diophantine Equations Involving Polynomial Families
PY  - 2003
UR  - https://m2.mtmt.hu/api/publication/20300151
ID  - 20300151
N1  - Graz
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rakaczki, Csaba
TI  - Binomial coefficients in arithmetic progressions
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 57
PY  - 2000
SP  - 547
EP  - 558
PG  - 12
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/1076137
ID  - 1076137
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Stroeker, RJ
AU  - de Weger, BMM
TI  - Elliptic binomial diophantine equations
JF  - MATHEMATICS OF COMPUTATION
J2  - MATH COMPUT
VL  - 68
PY  - 1999
SP  - 1257
EP  - 1281
PG  - 25
SN  - 0025-5718
DO  - 10.1090/S0025-5718-99-01047-9
UR  - https://m2.mtmt.hu/api/publication/20298014
ID  - 20298014
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
TI  - On a diophantine equation concerning the number of integer points in special domains
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 78
PY  - 1998
IS  - 1-2
SP  - 59
EP  - 70
PG  - 12
SN  - 0236-5294
DO  - 10.1023/A:1006518403429
UR  - https://m2.mtmt.hu/api/publication/1242118
ID  - 1242118
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Le, Maohua
TI  - Applications of the Gelfond-Baker method to diophantine equations (in Chinese)
PB  - China Science Publishing and Media Ltd
CY  - Peking
PY  - 1998
SP  - 247
SN  - 7030066235
UR  - https://m2.mtmt.hu/api/publication/22223400
ID  - 22223400
LA  - Chinese
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pintér, Ákos
AU  - Benjamin, M M De Weger
TI  - 210 = 14 × 15 = 5 × 6 × 7 = (21 2) = (10 4)
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 51
PY  - 1997
IS  - 1-2
SP  - 175
EP  - 189
PG  - 15
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/3211051
ID  - 3211051
N1  - Címben (21 2) és (10 4) binomiális együtthatók
WoS:hiba:A1997XV29400016 2019-03-09 22:14 első szerző nem egyezik
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - de Weger, B M M
TI  - Equal binomial coefficients: Some elementary considerations
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 63
PY  - 1997
IS  - 2
SP  - 373
EP  - 386
PG  - 14
SN  - 0022-314X
DO  - 10.1006/jnth.1997.2109
UR  - https://m2.mtmt.hu/api/publication/20153296
ID  - 20153296
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
TI  - On a diophantine equation concerning the number of integer points in special domains II
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 51
PY  - 1997
IS  - 3-4
SP  - 331
EP  - 342
PG  - 12
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/1242115
ID  - 1242115
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Hajdu, L
TI  - Some new results about polynomials and diophantine equations
PY  - 1997
UR  - https://m2.mtmt.hu/api/publication/20298213
ID  - 20298213
N1  - Debrecen
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - de Weger, BMM
TI  - A binomial diophantine equation
JF  - QUARTERLY JOURNAL OF MATHEMATICS
J2  - Q J MATH
VL  - 47
PY  - 1996
SP  - 221
EP  - 231
PG  - 11
SN  - 0033-5606
UR  - https://m2.mtmt.hu/api/publication/20297963
ID  - 20297963
LA  - English
DB  - MTMT
ER  -