Scientific publications
[1] I. Gaál and G. Nyul, Computing all monogeneous mixed dihedral quartic extensions of a quadratic field, Journal de Théorie des Nombres de Bordeaux 13 (2001), 137-142.
[2] G. Nyul, Power integral bases in totally complex biquadratic number fields, Acta Academie Paedagogicae Agriensis, Sectio Mathematicae 28 (2001), 79-86.
[3] G. Nyul, Non-monogenity of multiquadratic number fields, Acta Mathematica et Informatica Universitatis Ostraviensis 10 (2002), 85-93.
[4] G. Nyul, A divisibility problem of binomial coefficients, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös nominatae, Sectio Mathematica 47 (2004), 115-121.
[5] I. Gaál and G. Nyul, Index form equations in biquadratic fields: the p-adic case, Publicationes Mathematicae Debrecen 68 (2006), 225-242.
[6] G. Nyul, Monogenity of algebraic number fields (in Hungarian), PhD thesis, University of Debrecen, 2007.
[7] F. Luca and G. Nyul, On a divisibility problem related to binomial coefficients, Journal of Combinatorics and Number Theory 1 (2009), 183-187.
[F. Luca and G. Nyul, On a divisibility problem related to binomial coefficients, In: Frontiers of Combinatorics and Number Theory, Volume 1 (ed.: Z.-W. Sun), Nova Science Publishers, 2011, 189–193.]
[8] G. Nyul and B. Rauf, Upper bounds on van der Waerden type numbers for some second order linear recurrence sequences, Annales Mathematicae et Informaticae 38 (2011), 117-122.
[9] B. Nyul and G. Nyul, Functional equations for vector products and quaternions, Aequationes Mathematicae 85 (2013), 35-39.
[10] E. Gyimesi and G. Nyul, A note on Golomb's method and the continued fraction method for Egyptian fractions, Annales Mathematicae et Informaticae 42 (2013), 129-134.
[11] Zs. Kereskényi-Balogh and G. Nyul, Stirling numbers of the second kind and Bell numbers for graphs, Australasian Journal of Combinatorics 58 (2014), 264-274.
[12] G. Nyul, Pexiderized functional equations for vector products and quaternions, Acta Mathematica Hungarica 142 (2014), 519-525.
[13] G. Nyul and B. Rauf, On the existence of van der Waerden type numbers for linear recurrence sequences with constant coefficients, Fibonacci Quarterly 53 (2015), 53-60.
[14] G. Nyul and G. Rácz, The r-Lah numbers, Discrete Mathematics 338 (2015), 1660-1666.
[15] G. Nyul, Some thoughts concerning power sums, Teaching Mathematics and Computer Science 13 (2015), 303-308.
[16] E. Gyimesi and G. Nyul, A note on combinatorial subspaces and r-Stirling numbers, Utilitas Mathematica 105 (2017), 137-139.
[17] Cs. Bertók and G. Nyul, On monochromatic linear recurrence sequences, Contributions to Discrete Mathematics 11 (2017), 58-62.
[18] G. Nyul and G. Rácz, Lucas sequences and the Hosoya index of graphs, Fibonacci Quarterly 55 (2017), 340-342.
[19] E. Gyimesi and G. Nyul, A comprehensive study of r-Dowling polynomials, Aequationes Mathematicae 92 (2018), 515-527.
[20] E. Gyimesi and G. Nyul, New combinatorial interpretations of r-Whitney and r-Whitney-Lah numbers, Discrete Applied Mathematics 255 (2019), 222-233.
[21] G. Nyul, Combinatorial number sequences (in Hungarian), habilitation thesis, University of Debrecen, 2019.
[22] T. Arnóczki and G. Nyul, Minimal index of bicyclic biquadratic number fields, Rocky Mountain Journal of Mathematics 50 (2020), 1-8.
[23] G. Nyul and G. Rácz, Sums of r-Lah numbers and r-Lah polynomials, Ars Mathematica Contemporanea 18 (2020), 211-222.
[24] G. Nyul and G. Rácz, Matchings in complete bipartite graphs and the r-Lah numbers, Czechoslovak Mathematical Journal 71 (2021), 947-959.
[25] E. Gyimesi and G. Nyul, Associated r-Dowling numbers and some relatives, Comptes Rendus Mathématique 359 (2021), 47-55.
[26] Zs. Kereskényi-Balogh and G. Nyul, Fubini numbers and polynomials of graphs, Mediterranean Journal of Mathematics 18 (2021), Article 230.
[27] T. Arnóczki and G. Nyul, On a conjecture concerning the minimal index of pure quartic fields, Publicationes Mathematicae Debrecen 104 (2024), 471-478.
[28] E. Gyimesi, G. Nyul and G. Rácz, Generalizations of Stirling-like and Bell-like numbers, In: New Frontiers in Number Theory and Applications (eds.: J. Guàrdia, N. Minculete, D. Savin, M. Vela and A. Zekhnini), Birkhäuser, 2024, accepted for publication.
[29] T. Arnóczki and G. Nyul, On restricted r-Stirling numbers, also known as r-Bessel numbers, Australasian Journal of Combinatorics 89 (2024), 49-60.
Mathematical publications for a broader audience
[30] G. Nyul, Diophantine number sets (in Hungarian), Középiskolai Matematikai és Fizikai Lapok [Mathematical and Physical Journal for Secondary Schools] 67 (2017), 391-395.
[31] G. Nyul, Combinatorics of rhymes (in Hungarian), Polygon 25 (2018), 63-71.
[32] G. Nyul, Some thoughts concerning Sophie Germain primes (in Hungarian), Természet Világa 152 (2021), 282-283.
[33] G. Nyul, A nearly 110-year-old graduation exercise from the past of the 150-year-old Mihály Fazekas High School in Debrecen (in Hungarian), Középiskolai Matematikai és Fizikai Lapok [Mathematical and Physical Journal for Secondary Schools] 73 (2023), 514-515.
Publications related to the history of science
[34] G. Nyul, Jenő Egerváry, a former student of the school, was born 125 years ago (in Hungarian), In: A Debreceni Fazekas Mihály Gimnázium Értesítője a 2014/2015-ös és a 2015/2016-os iskolai tanévről [Yearbook of the Mihály Fazekas High School in Debrecen about the school years 2014/2015 and 2015/2016] (ed.: Péterné Gargya), 2016, 182-185.
[35] G. Nyul, Commemoration of Tibor Szele (in Hungarian), Érintő 9 (2018).
[36] G. Nyul, Memorial session in honour of Tibor Szele (in Hungarian), Debreceni Szemle 26 (2018), 337-339.
[37] G. Nyul, Descendants of Bolyai: the Saly branch in Nagykanizsa (in Hungarian), Kanizsai Antológia 23 (2022), 158-171.
[38] G. Nyul, About the Bolyais in the context of the 200th anniversary of the Temesvár letter (in Hungarian), Debreceni Szemle 31 (2023), 400-411.