Published on *Number Theory Conferences* (http://ntc.osu.cz)

Abstracts in pdf: 2017-abstracts.pdf [1]

**Zip files of the talks (password is needed):**

Monday talks [2]

Tuesday talks [3]

Wednesday talks [4]

Thursday talks [5]

Friday talks [6]

Open Problems [7]

Monday, August 28, 2017 | ||
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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 |

**Links:**

[1] http://ntc.osu.cz/../sites/default/files/2017/2017-abstracts.pdf

[2] http://ntc.osu.cz/../sites/default/files/2017/talks/Monday.zip

[3] http://ntc.osu.cz/../sites/default/files/2017/talks/Tuesday.zip

[4] http://ntc.osu.cz/../sites/default/files/2017/talks/Wednesday.zip

[5] http://ntc.osu.cz/../sites/default/files/2017/talks/Thursday.zip

[6] http://ntc.osu.cz/../sites/default/files/2017/talks/Friday.zip

[7] http://ntc.osu.cz/../sites/default/files/2017/talks/Open_problems.zip