Monday, September 2, 2019
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 ×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
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