@article{MTMT:1781112,
	title = {Balancing with Fibonacci powers},
	url = {https://m2.mtmt.hu/api/publication/1781112},
	author = {Behera, A and Liptai, Kálmán and Panda, G K and Szalay, László},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {49},
	unique-id = {1781112},
	issn = {0015-0517},
	abstract = {The Diophantine equation F1k + F2k + ⋯ + Fn-1k = Fn+1l + Fn+2l + ⋯ + Fn+rl in positive integers n,r,k,l with n ≥ 2 is studied where F n is the nth term of the Fibonacci sequence.},
	year = {2011},
	pages = {28-33}
}

@article{MTMT:1427122,
	title = {On generalized balancing sequences},
	url = {https://m2.mtmt.hu/api/publication/1427122},
	author = {Bérczes, Attila and Liptai, Kálmán and Pink, István},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {48},
	unique-id = {1427122},
	issn = {0015-0517},
	year = {2010},
	pages = {121-128}
}

@article{MTMT:1105972,
	title = {Arithmetic progressions of squares, cubes and n-th powers},
	url = {https://m2.mtmt.hu/api/publication/1105972},
	author = {Hajdu, Lajos and Tengely, Szabolcs},
	doi = {10.7169/facm/1261157805},
	journal-iso = {FUNCT APPROX COMMENT MATH},
	journal = {FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI},
	volume = {41},
	unique-id = {1105972},
	issn = {0208-6573},
	abstract = {In this paper we continue the investigations about unlike powers in arithmetic progression. We provide sharp upper bounds for the length of primitive non-constant arithmetic progressions consisting of squares/cubes and n-th powers.},
	year = {2009},
	eissn = {2080-9433},
	pages = {129-138}
}

@article{MTMT:1105971,
	title = {Cubes in products of terms in arithmetic progression},
	url = {https://m2.mtmt.hu/api/publication/1105971},
	author = {Hajdu, Lajos and Tijdeman, R and Tengely, Szabolcs},
	journal-iso = {PUBL MATH DEBRECEN},
	journal = {PUBLICATIONES MATHEMATICAE DEBRECEN},
	volume = {74},
	unique-id = {1105971},
	issn = {0033-3883},
	year = {2009},
	eissn = {2064-2849},
	pages = {215-232}
}

@article{MTMT:1111765,
	title = {Generalized balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/1111765},
	author = {Liptai, Kálmán and Luca, F and Pintér, Ákos and Szalay, László},
	doi = {10.1016/S0019-3577(09)80005-0},
	journal-iso = {INDAGAT MATH NEW SER},
	journal = {INDAGATIONES MATHEMATICAE-NEW SERIES},
	volume = {20},
	unique-id = {1111765},
	issn = {0019-3577},
	year = {2009},
	eissn = {1872-6100},
	pages = {87-100}
}

@article{MTMT:1242214,
	title = {Powerful arithmetic progressions},
	url = {https://m2.mtmt.hu/api/publication/1242214},
	author = {Hajdu, Lajos},
	doi = {10.1016/S0019-3577(09)00012-3},
	journal-iso = {INDAGAT MATH NEW SER},
	journal = {INDAGATIONES MATHEMATICAE-NEW SERIES},
	volume = {19},
	unique-id = {1242214},
	issn = {0019-3577},
	year = {2008},
	eissn = {1872-6100},
	pages = {547-561}
}

@article{MTMT:1781118,
	title = {Fibonacci diophantine triples},
	url = {https://m2.mtmt.hu/api/publication/1781118},
	author = {Luca, F and Szalay, László},
	doi = {10.3336/gm.43.2.03},
	journal-iso = {GLASNIK MAT},
	journal = {GLASNIK MATEMATICKI},
	volume = {43},
	unique-id = {1781118},
	issn = {0017-095X},
	abstract = {In this paper, we show that there are no three distinct positive integers a, b, c such that ab +1, ac + 1, bc +1 are all three Fibonacci numbers.},
	keywords = {Fibonacci and Lucas numbers; Diophan- tine triples; Binary recurrences},
	year = {2008},
	eissn = {1846-7989},
	pages = {253-264}
}

@article{MTMT:1111293,
	title = {On the zeros of shifted Bernoulli polynomials},
	url = {https://m2.mtmt.hu/api/publication/1111293},
	author = {Pintér, Ákos and Rakaczki, Csaba},
	doi = {10.1016/j.amc.2006.08.136},
	journal-iso = {APPL MATH COMPUT},
	journal = {APPLIED MATHEMATICS AND COMPUTATION},
	volume = {187},
	unique-id = {1111293},
	issn = {0096-3003},
	year = {2007},
	eissn = {1873-5649},
	pages = {379-383}
}

@article{MTMT:1805873,
	title = {On the resolution of simultaneous Pell equations},
	url = {https://m2.mtmt.hu/api/publication/1805873},
	author = {Szalay, László},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {34},
	unique-id = {1805873},
	issn = {1787-5021},
	year = {2007},
	eissn = {1787-6117},
	pages = {77-87}
}

@article{MTMT:1111296,
	title = {Binomial Thue equations and polynomial powers},
	url = {https://m2.mtmt.hu/api/publication/1111296},
	author = {Bennett, MA and Győry, Kálmán and Mignotte, M and Pintér, Ákos},
	doi = {10.1112/S0010437X06002181},
	journal-iso = {COMPOS MATH},
	journal = {COMPOSITIO MATHEMATICA},
	volume = {142},
	unique-id = {1111296},
	issn = {0010-437X},
	year = {2006},
	eissn = {1570-5846},
	pages = {1103-1121}
}

@article{MTMT:1073987,
	title = {Arithmetic progressions consisting of unlike powers},
	url = {https://m2.mtmt.hu/api/publication/1073987},
	author = {Bruin, N and Győry, Kálmán and Hajdu, Lajos and Tengely, Szabolcs},
	doi = {10.1016/S0019-3577(07)00002-X},
	journal-iso = {INDAGAT MATH NEW SER},
	journal = {INDAGATIONES MATHEMATICAE-NEW SERIES},
	volume = {17},
	unique-id = {1073987},
	issn = {0019-3577},
	abstract = {In this paper we present some new results about unlike powers in arithmetic progression. We prove among other things that for given k >= 4 and L >= 3 there are only finitely many arithmetic progressions of the form (x(0)(l0), x(1)(l1),..., x(k-1)(lk-1)) with x(i) epsilon Z, gcd(x(0), x(1))= 1 and 2 <= l(i) <= L for i = 0, 1,...,k - 1. Furthermore, we show that, for L = 3, the progression (1, 1,..., 1) is the only such progression up to sign. Our proofs involve some well-known theorems of Faltings [9], Darmon and Granville [6] as well as Chabauty's method applied to superelliptic curves.},
	year = {2006},
	eissn = {1872-6100},
	pages = {539-555}
}

@article{MTMT:1111355,
	title = {Combinatorial diophantine equations},
	url = {https://m2.mtmt.hu/api/publication/1111355},
	author = {Hajdu, Lajos and Pintér, Ákos},
	journal-iso = {PUBL MATH DEBRECEN},
	journal = {PUBLICATIONES MATHEMATICAE DEBRECEN},
	volume = {56},
	unique-id = {1111355},
	issn = {0033-3883},
	abstract = {In this paper some diophantine equations concerning binomial
		coefficients, power sums and product of consecutive integers are
		resolved. The equations are reduced to elliptic equations and then the
		program package SIMATH is used to determine the solutions.},
	year = {2000},
	eissn = {2064-2849},
	pages = {391-403}
}

@article{MTMT:1111354,
	title = {Square product of three integers in short intervals},
	url = {https://m2.mtmt.hu/api/publication/1111354},
	author = {Hajdu, Lajos and Pintér, Ákos},
	doi = {10.1090/S0025-5718-99-01095-9},
	journal-iso = {MATH COMPUT},
	journal = {MATHEMATICS OF COMPUTATION},
	volume = {68},
	unique-id = {1111354},
	issn = {0025-5718},
	abstract = {In this paper we list all the integer triplets taken from an interval
		of length less than or equal to 12, whose products are perfect squares.},
	year = {1999},
	eissn = {1088-6842},
	pages = {1299-1301}
}

@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}
}

@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: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}
}

@article{MTMT:1111347,
	title = {On equal values of power sums},
	url = {https://m2.mtmt.hu/api/publication/1111347},
	author = {Brindza, B and Pintér, Ákos},
	doi = {10.4064/aa-77-1-97-101},
	journal-iso = {ACTA ARITH},
	journal = {ACTA ARITHMETICA},
	volume = {77},
	unique-id = {1111347},
	issn = {0065-1036},
	year = {1996},
	eissn = {1730-6264},
	pages = {97-101}
}

@article{MTMT:1111861,
	title = {A note on the Diophantine equation binom{x}{4}=binom{y}{2}},
	url = {https://m2.mtmt.hu/api/publication/1111861},
	author = {Pintér, Ákos},
	journal-iso = {PUBL MATH DEBRECEN},
	journal = {PUBLICATIONES MATHEMATICAE DEBRECEN},
	volume = {47},
	unique-id = {1111861},
	issn = {0033-3883},
	year = {1995},
	eissn = {2064-2849},
	pages = {411-415}
}