Programme

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