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

The conference was opened on Monday morning, August 31, and closed on Friday, September 4, 2009.

Sunday, August 30, was the arrival day and the registration of all participants was at The Belaria Hotel.

Monday, August 31 | ||
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Chairman Kálmán Győry | ||

9:00–9:45 | Władysław Narkiewicz | Numbers Without Divisors in a Progression |

9:50–10:10 | Florian Luca | Common Values of the Arithmetic Functions $\phi$ and $\sigma$ |

10:10–11:10 | Coffee break | |

11:10–11:55 | Ákos Pintér | On Equal Values of Certain Lattice-Point Enumerators |

12:00–14:00 | Lunch | |

Chairman Władysław Narkiewicz | ||

14:00–14:45 | Lutz G. Lucht | A Survey of Ramanujan Expansions |

14:50–15:10 | Jonas Jankauskas | On Newan Polynomials which Divide No Littlewood Polynomial |

15:15–15:35 | Werner Georg Nowak | On the Error Term in Weyl's Law for Heisenberg Manifolds |

15:40–16:10 | Coffee break | |

Chairman Tauno Metsänkylä | ||

16:10–16:30 | Marian Genčev | A Non-regular Summability Method |

16:35–16:55 | Tapani Matala-aho | On Diophantine Approximations of Rogers-Ramanujan Type $q$-Continued Fractions |

17:00–17:20 | Anne-Maria Ernvall-Hytönen | On Exponent Sums and $\Omega $-Results for Cusp Forms |

17:25–17:45 | Eeva Suvitie | On Inner Product Involving a Holomorphic Cusp Form and a Maass Form |

Tuesday, September 1 | ||

Chairman Lutz G. Lucht | ||

9:00–9:45 | Kálmán Győry | On Certain Arithmetic Graphs and Their Applications to Diophantine Problems |

9:50–10:10 | András Bazsó | On Ternary Equations and Binomial Thue Equations with $S$-unit Coefficients |

10:15–10:35 | István Gaál | Diophantine Equations over Global Function Fields |

10:40–11:10 | Coffee break | |

11:10–11:55 | Attila Pethő | Arithmetical Progressions on Norm Form Equations |

12:00–13:30 | Lunch | |

13:45 | Photographing | |

Chairman Werner Bley | ||

14:00–14:45 | Clemens Fuchs | Divisibility Properties of Certain Polynomials by Schur's Method |

14:50–15:10 | Radan Kučera | On a Group Generated by Stark Units of a Real Abelian Field |

15:15–15:35 | Łukasz Pańkowski | Some Remarks on the Generalized Strong Recurrence for $L$-functions |

15:40–16:10 | Coffee break | |

Chairman Kazimierz Szymiczek | ||

16:10–16:30 | Amandine Leriche | Polya Field, Polya Group and Polya Extension: A Question of Capitulation |

16:35–16:55 | Diana Savin | A Computational Result about the Symbol Algebras |

17:00–17:20 | Ladislav Skula | Reductions of Matrices over Orders of Imaginary Quadratic Fields |

17:25–17:45 | Beata Rothkegel | Surjectivity of Natural Homomorphisms of Witt Rings of Orders |

Wednesday, September 2 | ||

Room A | ||

Chairman Attila Pethő | ||

9:00–9:45 | Piotr Krasoń | On Arithmetic in Mordell-Weil Groups |

9:50–10:10 | Attila Bérczes | Effective Results for Points on Certain Subvarieties of Tori |

10:15–10:35 | Adrian Łydka | On a Complex Explicit Formula Connected with the M\"obius Function of an Elliptic Curve |

10:40–11:10 | Coffee break | |

Chairman Takashi Agoh | ||

11:10–11:30 | Jan Herman | Semispecial Units in a Compositum of Quadratic Fields |

11:35–11:55 | Jaromír Kuben | On Stickelberger Elements and Vanishing Order Conjecture |

19:00 | Party in the conference hall | |

Room B | ||

Chairman Karl Dilcher | ||

9:00–9:20 | Csaba Rakaczki | On the Simple Zeros of Shifted Euler Polynomials |

9:25–9:45 | Lawrence Somer | Prime Lehmer Numbers with Composite Indices |

9:50–10:10 | Pavel Trojovský, Jaroslav Seibert | On Some Identities for the Fibonomial Coefficients |

10:15–10:35 | Antal Bege | GCD and LCM Type Matrices Associated with Classes of Arithmetical Functions |

10:40–11:10 | Coffee break | |

Chairman István Gaál | ||

11:10–11:30 | Larry Ericksen | Prime Constellations By Triangles |

11:35–11:55 | Gábor Nyul | Field Index of Algebraic Number Fields |

Thursday, September 3 | ||

Chairman Werner Georg Nowak | ||

9:00–9:45 | Andrzej Schinzel | Multiplicative Properties of Sets of Positive Integers |

9:50–10:10 | Artūras Dubickas | Powers in Sturmian Sequences |

10:15–10:35 | Martin Zeiner | Baire Results of Multi-Sequences |

10:40–11:10 | Coffee break | |

11:10–11:30 | Peter Csiba, József Bukor | On Estimations of Dispersion of Ratio Block Sequences |

11:35–11:55 | Ferdinánd Filip, János Tóth | On Ratio Block Sequences with Extreme Distribution Function |

12:00–14:00 | Lunch | |

Chairman Piotr Krasoń | ||

14:00–14:45 | Werner Bley | Numerical Evidence for the Equivariant Tamagawa Number Conjecture |

14:50–15:10 | Andrzej Paszkiewicz | On Polynomials $p(X) = X^n + g(X)$ with Lowest Degree of $g(X)$ which Are Irreducible Over $GF(2)$ |

15:15–15:35 | Takashi Agoh | On Bernoulli and Eulerian Numbers |

15:40–16:10 | Coffee break | |

Chairman Artūras Dubickas | ||

16:10–16:30 | Karl Dilcher | $\bmod \, p^3$ Analogues of Theorems of Gauss and Jacobi on Binomial Coefficients |

16:35–16:55 | I-Chiau Huang | Algebraic Structures of Bernoulli Numbers |

17:00–17:20 | Tauno Metsänkylä | Bernoulli Numbers and $p$-adic $L$-functions |

Friday, September 4 | ||

Chairman Florian Luca | ||

9:00–9:20 | Pavel Rucki | The Irrationality of Infinite Series of a Special Kind |

9:25–9:45 | Jan Šustek | On Expressible Sets and $p$-adic Numbers |

9:50–10:10 | Szabolcs Tengely | On the Diophantine Equation $x^2+C=2^ry^n$ |

10:15–10:35 | Štefan Porubský | On the Infinitude of Primes |

10:40–11:10 | Coffee break | |

Chairman Andrzej Schinzel | ||

11:10–11:55 | Problem session | |

12:00–13:00 | Lunch | |

13:30 | Minibus to Mošnov and Ostrava |

**Program.pdf [1] – programme in pdf file.**

**Links:**

[1] http://ntc.osu.cz/OLD/Conf2009/program.pdf