# Programme

Monday, September 2, 2019 | ||
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9:00–9:05 | Ladislav Mišík | Conference Opening |

Chairman: Štefan Porubský | ||

9:05–10:02 | Kálmán Győry | Effective results for Diophantine equations over finitely generated domains |

10:02–10:25 | Coffee break | |

10:25–11:05 | Florian Luca | Coordinates of solutions to Pell equations in various sequences |

11:10–11:30 | Gábor Nyul | Generalizations of Bell numbers and factorials |

11:35–11:55 | Elif Tan | Some properties of generalized tribonacci polynomials |

12:00–14:00 | Lunch | |

Chairman: Paweł Gładki | ||

14:00–14:20 | István Gaál | Calculating power integral bases |

14:25–14:45 | Tímea Arnóczki | Minimal index of some quartic fields |

14:50–15:10 | Stéphane Louboutin | On a conjecture on the fundamental units of some cubic fields |

15:15–15:35 | Juraj Kostra | On additive properties of units in subfields of cyclotomic fields |

15:40–16:10 | Coffee break | |

Chairman: István Gaál | ||

16:10–16:30 | Yohei Tachiya | Linear independence of reciprocal sums of certain Fibonacci-type numbers |

16:35–16:55 | Hayder Raheem Hashim | Diophantine equations related to reciprocals of linear recurrence sequences |

17:00–17:20 | Barbara Smoleń | Quaternaccis and Cliffordaccis -- new special sequences |

17:25–17:45 | Michał Różański | Quaternaccis and Cliffordaccis -- some matrix aspects |

18:00–20:00 | Dinner | |

Tuesday, September 3, 2019 | ||

Chairman: Stéphane Louboutin | ||

9:00–9:40 | Volker Ziegler | On $S$-Diophantine $m$-tuples |

9:45–10:05 | Alan Filipin | On the extension of $D(-k)$-pair $\{k,\; k+1\}$ |

10:10–10:40 | Coffee break | |

Chairman: Attila Pethő | ||

10:40–11:20 | Katalin Gyarmati | On multiplicative basis of finite sets |

11:25–11:45 | Andrej Dujella | Triples and quadruples which are $D(n)$-sets for several $n$'s |

11:50–12:10 | Márton Szikszai | Higher power rational Diophantine tuples |

12:15–14:00 | Lunch | |

Chairman: Jaroslav Hančl | ||

14:00–14:20 | Orsolya Herendi | Polynomial values of surface point counting polynomials |

14:25–14:45 | Ondřej Kolouch | Diophantine equations connected to the Komornik polynomials |

14:50–15:10 | László Szalay | Explicit solution to two diophantine equations |

15:15–15:35 | Jakub Krásenský | Computing complex conjugates by finite transducers |

15:40–16:10 | Coffee break | |

Chairman: Radhakrishnan Nair | ||

16:10–16:30 | Ondřej Turek | One-sided Diophantine approximations |

16:35–16:55 | Jaroslav Hančl | On irrationality exponents of generalized continued fractions |

17:00–17:20 | Lukáš Novotný | On bounds for irrationality measure of infinite series |

17:25–17:45 | László Remete | Integral bases of pure fields |

18:00–22:00 | Conference Party | in the Conference Centre |

Wednesday, September 4, 2019 | ||

Chairman: Andrej Dujella | ||

9:00–9:40 | Filip Najman | Modularity of elliptic curves over totally real cubic fields |

9:45–10:05 | Szabolcs Tengely | Integral points on genus 2 curves |

10:10–10:40 | Coffee break | |

Chairman: Katalin Gyarmati | ||

10:40–11:00 | Attila Pethő | Diophantine problems related to radix representations in algebraic number fields |

11:05–11:25 | Magdaléna Tinková | Jacobi-Perron algorithm and indecomposable integers in the simplest cubic fields |

11:30–11:50 | László Tóth | Counting substructures of $Z{}_{m}\times Z{}_{n}$ |

11:55–12:00 | Photographing | in front of the Conference centre |

12:00–14:00 | Lunch | |

14:00–18:00 | Conference trip | |

18:30–20:30 | Dinner | |

Thursday, September 5, 2019 | ||

Chairman: János Tóth | ||

9:00–9:40 | Radhakrishnan Nair | On strongly Hartman uniformly distributed sequences |

9:45–10:05 | Štefan Porubský | Uniform distribution of the weighted sum-of-digits functions |

10:10–10:40 | Coffee break | |

Chairman: József Bukor | ||

10:40–11:20 | Jacek Tryba | Densities and ideals |

11:25–11:45 | Ram Krishna Pandey | Maximal density of sets with missing differences |

11:50–12:10 | Ágoston Papp | On asymptotic density properties of the sequence $(n!){}_{n=0}^{\infty}$ |

12:15–14:00 | Lunch | |

Chairman: Jacek Tryba | ||

14:00–14:20 | Jan Šustek | On relation between asymptotic and Abel densities |

14:25–14:45 | József Bukor | Comparing weighted densities |

14:50–15:10 | Ferdinánd Filip | Sets with countably infinitely many prescribed weighted densities |

15:15–15:35 | Ladislav Mišík | On the Beurling-Malliavin density |

15:40–16:10 | Coffee break | |

Chairman: Lajos Hajdu | ||

16:10–16:30 | Gary Walsh | Categorizing elliptic curves with rational two torsion containing a primitive integer point |

16:35–16:55 | Paweł Gładki | Subgroups of index 2 of a multiplicative group of a field |

17:00–19:00 | Dinner | |

Friday, September 6, 2019 | ||

Chairman: Gary Walsh | ||

9:00–9:40 | Radan Kučera | On semispecial units |

9:45–10:05 | Pavel Francírek | Annihilators of the ideal class group of an imaginary cyclic field |

10:10–10:40 | Coffee break | |

Chairman: Radan Kučera | ||

10:40–11:00 | Tomáš Perutka | On certain properties of tuples of algebraic integers |

11:05–11:25 | István Pink | Sums of $S$-units in recurrence sequences |

11:30–11:50 | János Tóth | On properties of recursively formed certain subsequences of given regular sequences |

11:50–11:55 | Conference closing | |

12:00–14:00 | Lunch |