@article{MTMT:32740282, title = {SINGMASTER’S CONJECTURE IN THE INTERIOR OF PASCAL’S TRIANGLE}, url = {https://m2.mtmt.hu/api/publication/32740282}, author = {MATOMAKI, K and RADZIWILL, M and SHAO, X and TAO, T and TERAVAINEN, J}, doi = {10.1093/qmath/haac006}, journal-iso = {Q J MATH}, journal = {QUARTERLY JOURNAL OF MATHEMATICS}, volume = {73}, unique-id = {32740282}, issn = {0033-5606}, year = {2022}, eissn = {1464-3847}, pages = {1137-1177} } @article{MTMT:30806148, title = {On the Diophantine equation ( n k ) = ( m l ) + d}, url = {https://m2.mtmt.hu/api/publication/30806148}, author = {Gallegos-Ruiz, H.R. and Katsipis, N. and Tengely, Szabolcs and Ulas, M.}, doi = {10.1016/j.jnt.2019.08.007}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {208}, unique-id = {30806148}, issn = {0022-314X}, abstract = {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.}, keywords = {Diophantine equation; elliptic curve; INTEGER POINTS; binomial coefficient; Genus two curve}, year = {2020}, eissn = {1096-1658}, pages = {418-440}, orcid-numbers = {Gallegos-Ruiz, H.R./0000-0002-3304-5040; Katsipis, N./0000-0001-5819-9970} } @article{MTMT:31382743, title = {Polynomial values of figurate numbers}, url = {https://m2.mtmt.hu/api/publication/31382743}, author = {Hajdu, Lajos and Varga, Nóra}, doi = {10.1016/j.jnt.2020.04.021}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {214}, unique-id = {31382743}, issn = {0022-314X}, year = {2020}, eissn = {1096-1658}, pages = {79-99}, orcid-numbers = {Varga, Nóra/0000-0003-0489-9255} } @article{MTMT:30462516, title = {Zeckendorf representations with at most two terms to x-coordinates of Pell equations}, url = {https://m2.mtmt.hu/api/publication/30462516}, author = {Gómez, Carlos A. and Luca, Florian}, doi = {10.1007/s11425-017-9283-6}, journal-iso = {SCI CHINA MATH}, journal = {SCIENCE CHINA MATHEMATICS}, volume = {63}, unique-id = {30462516}, issn = {1674-7283}, year = {2019}, eissn = {1869-1862}, pages = {627-642} } @misc{MTMT:30719729, title = {On the Diophantine equation $\binom {n}{k}=\binom {m}{l}+ d$}, url = {https://m2.mtmt.hu/api/publication/30719729}, author = {HR, Gallegos-Ruiz and N, Katsipis and S, Tengely and M, Ulas}, unique-id = {30719729}, year = {2019} } @book{MTMT:32844132, title = {Combinatorics and Number Theory of Counting Sequences}, url = {https://m2.mtmt.hu/api/publication/32844132}, isbn = {1138564850}, author = {Mező, István}, doi = {10.1201/9781315122656}, publisher = {Chapman and Hall/CRC}, unique-id = {32844132}, year = {2019} } @misc{MTMT:26717095, title = {Binomial collisions and near collisions}, url = {https://m2.mtmt.hu/api/publication/26717095}, author = {Blockhuis, A and Brouwer, A and de Weger, B}, unique-id = {26717095}, year = {2017} } @mastersthesis{MTMT:26402685, title = {Diophantine equations with separable variables}, url = {https://m2.mtmt.hu/api/publication/26402685}, author = {Péter, Gyöngyvér}, publisher = {Debreceni Egyetem Természettudományi és Technológiai Kar}, unique-id = {26402685}, year = {2017} } @article{MTMT:26121404, title = {REPEATED BINOMIAL COEFFICIENTS AND HIGH-DEGREE CURVES}, url = {https://m2.mtmt.hu/api/publication/26121404}, author = {Jenkins, H}, journal-iso = {INTEGERS}, journal = {INTEGERS}, volume = {16}, unique-id = {26121404}, issn = {1867-0652}, year = {2016} } @mastersthesis{MTMT:3116430, title = {Figurális számok és diofantikus egyenletek}, url = {https://m2.mtmt.hu/api/publication/3116430}, author = {Varga, Nóra}, unique-id = {3116430}, year = {2016}, orcid-numbers = {Varga, Nóra/0000-0003-0489-9255} } @article{MTMT:2404711, title = {Equal values of standard counting polynomials}, url = {https://m2.mtmt.hu/api/publication/2404711}, author = {Győry, Kálmán and Kovács, Tünde and Péter, Gyöngyvér and Pintér, Ákos}, doi = {10.5486/PMD.2014.5956}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {84}, unique-id = {2404711}, issn = {0033-3883}, year = {2014}, eissn = {2064-2849}, pages = {259-277} } @article{MTMT:2305480, title = {Equal values of figurate numbers}, url = {https://m2.mtmt.hu/api/publication/2305480}, author = {Hajdu, Lajos and Pintér, Ákos and Tengely, Szabolcs and Varga, Nóra}, doi = {10.1016/j.jnt.2013.10.017}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {137}, unique-id = {2305480}, issn = {0022-314X}, year = {2014}, eissn = {1096-1658}, pages = {130-141}, orcid-numbers = {Varga, Nóra/0000-0003-0489-9255} } @article{MTMT:1989302, title = {On some polynomial values of repdigit numbers}, url = {https://m2.mtmt.hu/api/publication/1989302}, author = {Kovács, Tünde and Péter, Gyöngyvér and Varga, Nóra}, doi = {10.1007/s10998-013-1396-7}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {67}, unique-id = {1989302}, issn = {0031-5303}, year = {2013}, eissn = {1588-2829}, pages = {221-230}, orcid-numbers = {Varga, Nóra/0000-0003-0489-9255} } @article{MTMT:3058935, title = {(a,b)-type balancing numbers}, url = {https://m2.mtmt.hu/api/publication/3058935}, author = {Liptai, Kálmán}, journal-iso = {RIMS KOKYUROKU}, journal = {SURIKAISEKIKENKYUSHO KOKYUROKU / RIMS KOKYUROKU}, volume = {1874}, unique-id = {3058935}, issn = {1880-2818}, year = {2013}, pages = {115-124} } @article{MTMT:2507788, title = {On Some Polynomial Values of Repdigit Numbers}, url = {https://m2.mtmt.hu/api/publication/2507788}, author = {Varga, Nóra and Kovács, Tünde and Péter, Gyöngyvér}, doi = {10.1016/j.endm.2013.07.061}, journal-iso = {ELECTRON NOTES DISCRETE MATH}, journal = {ELECTRONIC NOTES IN DISCRETE MATHEMATICS}, volume = {43}, unique-id = {2507788}, issn = {1571-0653}, year = {2013}, pages = {417-423}, orcid-numbers = {Varga, Nóra/0000-0003-0489-9255} } @article{MTMT:1448236, title = {On Equal Values of Stirling Numbers of the Second Kind}, url = {https://m2.mtmt.hu/api/publication/1448236}, author = {Ferenczik, Judit and Pintér, Ákos and Porvázsnyik, Bettina}, doi = {10.1016/j.amc.2011.01.088}, journal-iso = {APPL MATH COMPUT}, journal = {APPLIED MATHEMATICS AND COMPUTATION}, volume = {218}, unique-id = {1448236}, issn = {0096-3003}, year = {2011}, eissn = {1873-5649}, pages = {980-984}, orcid-numbers = {Porvázsnyik, Bettina/0000-0002-9635-0683} } @mastersthesis{MTMT:21343670, title = {Balansz számok általánosításai}, url = {https://m2.mtmt.hu/api/publication/21343670}, author = {Liptai, Kálmán}, unique-id = {21343670}, year = {2011} } @mastersthesis{MTMT:1989297, title = {Combinatorial Diophantine equations}, url = {https://m2.mtmt.hu/api/publication/1989297}, author = {Kovács, Tünde}, publisher = {University of Debrecen}, unique-id = {1989297}, year = {2011} } @article{MTMT:24528297, title = {On Diophantine equation 3a^2 x^4 − By^2 = 1}, url = {https://m2.mtmt.hu/api/publication/24528297}, author = {He, D and Chen, J and Wang, Y}, doi = {10.1007/s10231-010-0131-8}, journal-iso = {ANN MAT PUR APPL}, journal = {ANNALI DI MATEMATICA PURA ED APPLICATA}, volume = {189}, unique-id = {24528297}, issn = {0373-3114}, year = {2010}, eissn = {1618-1891}, pages = {679-687} } @article{MTMT:1419242, title = {On (a,b)-balancing numbers}, url = {https://m2.mtmt.hu/api/publication/1419242}, author = {Kovács, Tünde and Liptai, Kálmán and Olajos, Péter}, doi = {10.5486/PMD.2010.4857}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {77}, unique-id = {1419242}, issn = {0033-3883}, year = {2010}, eissn = {2064-2849}, pages = {485-498} } @article{MTMT:1944862, title = {Properties of balancing, cobalancing and generalized balancing numbers}, url = {https://m2.mtmt.hu/api/publication/1944862}, author = {Olajos, Péter}, journal-iso = {ANN MATH INFORM}, journal = {ANNALES MATHEMATICAE ET INFORMATICAE}, volume = {37}, unique-id = {1944862}, issn = {1787-5021}, year = {2010}, eissn = {1787-6117}, pages = {125-138} } @mastersthesis{MTMT:1800026, title = {Algebrai görbék a diofantikus számelméletben}, url = {https://m2.mtmt.hu/api/publication/1800026}, author = {Tengely, Szabolcs}, unique-id = {1800026}, year = {2010} } @article{MTMT:20815665, title = {A New Proof of Diophantine Equation binom(x,4)=binom(y,2)}, url = {https://m2.mtmt.hu/api/publication/20815665}, author = {Zhu, Hui-Lin}, journal-iso = {Communications in Mathematical Research}, journal = {Communications in Mathematical Research}, volume = {25}, unique-id = {20815665}, issn = {1674-5647}, year = {2009}, pages = {282-288} } @article{MTMT:1108521, title = {Integral points on hyperelliptic curves}, url = {https://m2.mtmt.hu/api/publication/1108521}, author = {Bugeaud, Y and Mignotte, M and Siksek, S and Stoll, M and Tengely, Szabolcs}, doi = {10.2140/ant.2008.2.859}, journal-iso = {ALGEBR NUMBER THEORY}, journal = {ALGEBRA AND NUMBER THEORY}, volume = {2}, unique-id = {1108521}, issn = {1937-0652}, year = {2008}, eissn = {1944-7833}, pages = {859-885} } @article{MTMT:1419204, title = {Combinatorial Diophantine equations - the genus 1 case}, url = {https://m2.mtmt.hu/api/publication/1419204}, author = {Kovács, Tünde}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {72}, unique-id = {1419204}, issn = {0033-3883}, year = {2008}, eissn = {2064-2849}, pages = {243-255} } @book{MTMT:20300155, title = {Unsolved problems in number theory}, url = {https://m2.mtmt.hu/api/publication/20300155}, isbn = {9780387208602}, author = {Guy, RK}, publisher = {Springer Netherlands}, unique-id = {20300155}, year = {2004} } @mastersthesis{MTMT:20296792, title = {Binomiális együtthatókkal és hatványösszegekkel kapcsolatos diofantikus eredmények}, url = {https://m2.mtmt.hu/api/publication/20296792}, author = {Rakaczki, Csaba}, publisher = {University of Debrecen}, unique-id = {20296792}, year = {2004} } @article{MTMT:1076141, title = {On the diophantine equation $F\left({x\choose n}\right)=b{y\choose m}$}, url = {https://m2.mtmt.hu/api/publication/1076141}, author = {Rakaczki, Csaba}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {49}, unique-id = {1076141}, issn = {0031-5303}, year = {2004}, eissn = {1588-2829}, pages = {119-132} } @article{MTMT:20296778, title = {The Diophantine equation alpha((x)(m)) + beta((y)(n))= gamma}, url = {https://m2.mtmt.hu/api/publication/20296778}, author = {Stoll, T and Tichy, RF}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {64}, unique-id = {20296778}, issn = {0033-3883}, year = {2004}, eissn = {2064-2849}, pages = {155-165} } @article{MTMT:1076136, title = {On the diophantine equation $x(x-1)\cdots (x-(m-1))=\lambda y(y-1)\cdots (y-(n-1))+l$}, url = {https://m2.mtmt.hu/api/publication/1076136}, author = {Rakaczki, Csaba}, doi = {10.4064/aa110-4-3}, journal-iso = {ACTA ARITH}, journal = {ACTA ARITHMETICA}, volume = {110}, unique-id = {1076136}, issn = {0065-1036}, year = {2003}, eissn = {1730-6264}, pages = {339-360} } @mastersthesis{MTMT:20300151, title = {Finiteness Results for Diophantine Equations Involving Polynomial Families}, url = {https://m2.mtmt.hu/api/publication/20300151}, author = {T, Stoll}, unique-id = {20300151}, year = {2003} } @article{MTMT:1076137, title = {Binomial coefficients in arithmetic progressions}, url = {https://m2.mtmt.hu/api/publication/1076137}, author = {Rakaczki, Csaba}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {57}, unique-id = {1076137}, issn = {0033-3883}, year = {2000}, eissn = {2064-2849}, pages = {547-558} } @article{MTMT:20298014, title = {Elliptic binomial diophantine equations}, url = {https://m2.mtmt.hu/api/publication/20298014}, author = {Stroeker, RJ and de Weger, BMM}, doi = {10.1090/S0025-5718-99-01047-9}, journal-iso = {MATH COMPUT}, journal = {MATHEMATICS OF COMPUTATION}, volume = {68}, unique-id = {20298014}, issn = {0025-5718}, year = {1999}, eissn = {1088-6842}, pages = {1257-1281} } @article{MTMT:1242118, title = {On a diophantine equation concerning the number of integer points in special domains}, url = {https://m2.mtmt.hu/api/publication/1242118}, author = {Hajdu, Lajos}, doi = {10.1023/A:1006518403429}, journal-iso = {ACTA MATH HUNG}, journal = {ACTA MATHEMATICA HUNGARICA}, volume = {78}, unique-id = {1242118}, issn = {0236-5294}, year = {1998}, eissn = {1588-2632}, pages = {59-70} } @book{MTMT:22223400, title = {Applications of the Gelfond-Baker method to diophantine equations (in Chinese)}, url = {https://m2.mtmt.hu/api/publication/22223400}, isbn = {7030066235}, author = {Le, Maohua}, publisher = {China Science Publishing and Media Ltd}, unique-id = {22223400}, year = {1998} } @article{MTMT:3211051, title = {210 = 14 × 15 = 5 × 6 × 7 = (21 2) = (10 4)}, url = {https://m2.mtmt.hu/api/publication/3211051}, author = {Pintér, Ákos and Benjamin, M M De Weger}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {51}, unique-id = {3211051}, issn = {0033-3883}, year = {1997}, eissn = {2064-2849}, pages = {175-189} } @article{MTMT:20153296, title = {Equal binomial coefficients: Some elementary considerations}, url = {https://m2.mtmt.hu/api/publication/20153296}, author = {de Weger, B M M}, doi = {10.1006/jnth.1997.2109}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {63}, unique-id = {20153296}, issn = {0022-314X}, year = {1997}, eissn = {1096-1658}, pages = {373-386} } @article{MTMT:1242115, title = {On a diophantine equation concerning the number of integer points in special domains II}, url = {https://m2.mtmt.hu/api/publication/1242115}, author = {Hajdu, Lajos}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {51}, unique-id = {1242115}, issn = {0033-3883}, year = {1997}, eissn = {2064-2849}, pages = {331-342} } @mastersthesis{MTMT:20298213, title = {Some new results about polynomials and diophantine equations}, url = {https://m2.mtmt.hu/api/publication/20298213}, author = {Hajdu, L}, unique-id = {20298213}, year = {1997} } @article{MTMT:20297963, title = {A binomial diophantine equation}, url = {https://m2.mtmt.hu/api/publication/20297963}, author = {de Weger, BMM}, journal-iso = {Q J MATH}, journal = {QUARTERLY JOURNAL OF MATHEMATICS}, volume = {47}, unique-id = {20297963}, issn = {0033-5606}, year = {1996}, eissn = {1464-3847}, pages = {221-231} }