Programme

Abstracts in pdf: 2017-abstracts.pdf

Zip files of the talks (password is needed):
Monday talks
Tuesday talks
Wednesday talks
Thursday talks
Friday talks

Open Problems

Monday, August 28, 2017
  Chairman: Robert F. Tichy
9:00–9:05 Jan Šustek Conference opening
9:05–9:50 Kálmán Győry $S$-parts of values of binary forms and decomposable forms
9:55–10:15 István Gaál On Mordell's equation
10:20–10:40 Tímea Arnóczki Elements with given index in bicyclic biquadratic number fields
10:40–11:00 Coffee break
11:00–11:20 László Remete Integral basis and monogenity in parametric families of number fields
11:30–11:40 Photographing in front of hotel
12:30–14:00 Lunch
  Chairman: Attila Pethő
14:00–14:45 Robert F. Tichy Normal Numbers: Quantitative and computational aspects
14:50–15:10 Ömür Deveci The Adjacency-Jacobsthal-Hurwitz Sequences in Groups
15:15–15:35 Ömür Deveci The Adjacency-Jacobsthal Sequence in Finite Groups
15:35–16:05 Coffee break
  Chairman: Karol Nemoga
16:05–16:25 Jana Fialová A sequence adapted from the movement of the center of mass of two planets in solar system
18:00–20:00 Dinner
Tuesday, August 29, 2017
  Chairman: Attila Bérczes
9:00–9:45 Florian Luca Cyclotomic factors of Serre's polynomials
9:50–10:10 Márton Szikszai On a coprimality condition for consecutive values of polynomials
10:15–10:35 Karl Dilcher On the polynomial part of a restricted partition function
10:35–10:55 Coffee break
  Chairman: Karl Dilcher
10:55–11:15 Marian Genčev Generalization of the non-local derangement identity and applications to multiple zeta-type series
11:20–11:40 Ayhan Dil Evaluation of Euler-like sums via Hurwitz zeta values
11:45–12:05 Elif Tan On a new generalization of Horadam sequence
12:30–13:30 Lunch
  Chairman: Florian Luca
14:00–14:45 Radhakrishnan Nair On Weyl's theorem on uniform distribution of polynomials
14:50–15:10 Jaroslav Hančl On the irrationality of infinite series of reciprocals of square roots
15:15–15:35 Jan Šustek New bounds for irrationality measure of infinite series
15:40–16:00 Ondřej Kolouch Irrationality and transcendence of infinite continued fractions of square roots
16:00–16:20 Coffee break
  Chairman: Štefan Porubský
16:20–16:40 József Bukor Best estimations for dispersion of special ratio block sequences
16:45–17:05 Ferdinánd Filip The structure of weighted densities
18:00–20:00 Dinner
Wednesday, August 30, 2017
  Chairman: Radan Kučera
9:00–9:30 Claude Levesque On Thue equations
9:35–9:55 István Pink Effective Resolution of Diophantine equations of the form $u_n+u_m=w p_1^{z_1} ...p_s^{z_s}$
10:00–10:20 László Szalay On the equation $2^n±\alpha \cdot 2^m+\alpha ^2=x^2$
10:20–10:40 Coffee break
  Chairman: Radhakrishnan Nair
10:40–11:00 András Bazsó On polynomial values of sums of products of consecutive integers
11:05–11:25 Nurettin Irmak On the equation $L_{n}...L_{n+k-1}=a( \frac {10^{m}-1}{9})$
11:30–11:50 Maciej Ulas On consecutive $1$'s in continued fractions expansions of square roots of prime numbers
12:00–13:30 Lunch
19:00–24:00 Banquet
Thursday, August 31, 2017
  Chairman: Kálmán Győry
9:00–9:45 Andrej Dujella Polynomial root separation
9:50–10:10 Csanád Bertók On the distribution of polynomials with bounded heights
10:15–10:35 Rachid Boumahdi Hermite-Dickson's theorem revisited
10:35–10:55 Coffee break
  Chairman: László Szalay
10:55–11:15 Piotr Miska On numbers of permutations being products of pairwise disjoint cycles of length $d$
11:20–11:40 Ladislav Mišík On partial limits of sequences
11:45–12:05 Mehmet Cenkci Some Congruences for Numbers of Ramanujan
12:10–12:30 Štefan Porubský Arithmetical topologies
12:30–13:30 Lunch
  Chairman: Claude Levesque
14:00–14:45 Attila Pethő Number systems over orders
14:50–15:10 Radan Kučera Annihilating class groups by means of units
15:15–15:35 Pavel Francírek Annihilators of the minus class group of an imaginary cyclic field
15:40–16:00 Vladimír Sedláček Circular units of abelian fields with four ramified primes
18:30–20:00 Dinner
Friday, September 1, 2017
  Chairman: István Gaál
9:25–9:45 Tamás Szakács Convolution of second order linear recursive sequences
9:50–10:10 Attila Bérczes Effective results for Diophantine equations over finitely generated domains
10:15–10:35 Bartosz Sobolewski The $2$-adic valuation of some generalized Fibonacci sequences
10:35–10:55 Coffee break
  Chairman:
10:55–11:40 Problem session
12:00–13:30 Lunch