@article{MTMT:30922155,
	title = {On arithmetic progressions in Lucas sequences – II},
	url = {https://m2.mtmt.hu/api/publication/30922155},
	author = {Szikszai, Márton and Ziegler, Volker},
	doi = {10.1016/j.jnt.2019.02.015},
	journal-iso = {J NUMBER THEORY},
	journal = {JOURNAL OF NUMBER THEORY},
	volume = {201},
	unique-id = {30922155},
	issn = {0022-314X},
	abstract = {In this paper, we provide an effective and practical method to find all three term arithmetic progressions in a given Lucas sequence of the first or second kind. Our interest is the case when the sequence has a negative discriminant, since the case of positive discriminant has recently been resolved by Hajdu et al. [11]. We present a conjecture on the maximal number and length of such arithmetic progressions based on computational evidence.},
	keywords = {Arithmetic progressions; Lucas sequences; exponential Diophantine equations},
	year = {2019},
	eissn = {1096-1658},
	pages = {354-376}
}

@mastersthesis{MTMT:27489404,
	title = {Coprimality in consecutive terms of integer sequences},
	url = {https://m2.mtmt.hu/api/publication/27489404},
	author = {Szikszai, Márton},
	publisher = {Debreceni Egyetem Természettudományi és Technológiai Kar},
	unique-id = {27489404},
	year = {2018}
}

@article{MTMT:3319168,
	title = {On arithmetic progressions in Lucas sequences},
	url = {https://m2.mtmt.hu/api/publication/3319168},
	author = {Hajdu, Lajos and Szikszai, Márton and Volker, Ziegler},
	journal-iso = {J INTEGER SEQ},
	journal = {JOURNAL OF INTEGER SEQUENCES},
	volume = {20},
	unique-id = {3319168},
	year = {2017},
	eissn = {1530-7638}
}

@article{MTMT:3319166,
	title = {Distinct Products in Lucas Sequences - On a Problem of Kimberling},
	url = {https://m2.mtmt.hu/api/publication/3319166},
	author = {Szikszai, Márton},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {55},
	unique-id = {3319166},
	issn = {0015-0517},
	year = {2017},
	pages = {291-296}
}

@article{MTMT:3284731,
	title = {A coprimality condition on consecutive values of polynomials},
	url = {https://m2.mtmt.hu/api/publication/3284731},
	author = {Carlo, Sanna and Szikszai, Márton},
	doi = {10.1112/blms.12078},
	journal-iso = {B LOND MATH SOC},
	journal = {BULLETIN OF THE LONDON MATHEMATICAL SOCIETY},
	volume = {49},
	unique-id = {3284731},
	issn = {0024-6093},
	year = {2017},
	eissn = {1469-2120},
	pages = {908-915}
}

@article{MTMT:3099616,
	title = {A Brocard-Ramanujan-type equation with Lucas and associated Lucas sequences},
	url = {https://m2.mtmt.hu/api/publication/3099616},
	author = {Pink, István and Szikszai, Márton},
	doi = {10.3336/gm.52.1.02},
	journal-iso = {GLASNIK MAT},
	journal = {GLASNIK MATEMATICKI},
	volume = {52},
	unique-id = {3099616},
	issn = {0017-095X},
	year = {2017},
	eissn = {1846-7989},
	pages = {11-21}
}

@article{MTMT:3076850,
	title = {There are infinitely many rational Diophantine sextuples},
	url = {https://m2.mtmt.hu/api/publication/3076850},
	author = {Andrej, Dujella and Matija, Kazalicki and Miljen, Mikic and Szikszai, Márton},
	doi = {10.1093/imrn/rnv376},
	journal-iso = {INT MATH RES NOTICES},
	journal = {INTERNATIONAL MATHEMATICS RESEARCH NOTICES},
	volume = {2017},
	unique-id = {3076850},
	issn = {1073-7928},
	year = {2017},
	eissn = {1687-0247},
	pages = {490-508}
}

@article{MTMT:3082686,
	title = {Perfect powers in products of terms of elliptic divisibility sequences},
	url = {https://m2.mtmt.hu/api/publication/3082686},
	author = {Hajdu, Lajos and Laishram, Shanta and Szikszai, Márton},
	doi = {10.1017/S0004972716000332},
	journal-iso = {B AUST MATH SOC},
	journal = {BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY},
	volume = {94},
	unique-id = {3082686},
	issn = {0004-9727},
	year = {2016},
	eissn = {1755-1633},
	pages = {395-404}
}

@inproceedings{MTMT:3076851,
	title = {Stochastic modeling of Wireless Networks. a case study in time domain},
	url = {https://m2.mtmt.hu/api/publication/3076851},
	author = {Gál, Zoltán and Ágnes, Nagy and Szikszai, Márton and Terdik, György},
	booktitle = {9th International Conference on Applied Informatics},
	doi = {10.14794/ICAI.9.2014.2.195},
	unique-id = {3076851},
	year = {2015},
	pages = {195-201},
	orcid-numbers = {Gál, Zoltán/0000-0003-1771-6497; Terdik, György/0000-0002-9663-6892}
}

@article{MTMT:2963098,
	title = {Common factors in series of consecutive terms of associated Lucas and Lehmer sequences},
	url = {https://m2.mtmt.hu/api/publication/2963098},
	author = {Hajdu, Lajos and Szikszai, Márton},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {53},
	unique-id = {2963098},
	issn = {0015-0517},
	year = {2015},
	pages = {221-229}
}