Analiziniai ir tikimybiniai metodai skaičių teorijoje

Size: px

Start display at page:

Download "Analiziniai ir tikimybiniai metodai skaičių teorijoje"

Christal Sparks
5 years ago
Views:

1 VILNIAUS UNIVERSITETAS MATEMATIKOS IR INFORMATIKOS FAKULTETAS IV Tarptautin konferencija Analiziniai ir tikimybiniai metodai skaičių teorijoje 2006 rugs jo d.d. Skiriama profesoriaus JONO KUBILIAUS 85 metų sukakčiai The IV International Conference Analytic and Probabilistic Methods In Number Theory September, 2006 Dedicated to the 85 th birthday of Professor JONAS KUBILIUS

2 Organizing Committee Eugenijus Manstavičius (chairman) Antanas Laurinčikas (program director) Gintautas Bareikis Edmundas Gaigalas Algirdas Mačiulis Vilius Stak nas Gediminas Stepanauskas Jonas Šiaulys The conference was supported by European Mathematical Society, by n State Science and Studies Foundation, and by Faculty of Mathematics and Informatics,. 2

3 Opening ceremony PROGRAMME MONDAY Chairman Imre Kátai Opening plenary lecture Kohji Matsumoto Convolutions of von Mangoldt functions and related zeta-functions Coffee break Plenary lectures Joern Steuding The power of moments Vasili Bernik Inhomogeneous Diophantine approximations on manifolds Lunch Lectures. Chairman Joern Steuding Hidehiko Mishou Joint functions independence for the Riemann zeta-function and Hurwitz zeta-functions Takashi Nakamura The existence and the non-existence of joint t-universality for Lerch zetafunctions Natalia Budarina Simultaneous Diophantine approximation on polynomial surfaces Coffee break Ella Kovalevskaya Diophantine approximations in CxQ p Gediminas Stepanauskas The Poisson law for the sum of Jonas Šiaulys additive functions Tomas Plankis Divisibility properties of a recurrent sequence Algirdas Javtokas On the bicomplex Hurwitz zetafunction 3

4 09 26 THUESDAY Plenary lectures. Chairman Kohji Matsumoto Karl-Heinz Indlekofer Elementary proof of the prime number theorem Imre Kátai Some results and problems on arithmetical functions Coffee break Jean-Loup Mauclaire Almost periodicity and Dirichlet series Aleksei Ustinov On one problem in metric theory of continued fractions Lunch Lectures. Chairman Aleksei Ustinov Rasa Steuding Topological transitivity of Euler products and related arithmetical functions Johan Andersson On a power sum problem of Turán Volha Kukso On one metric theorem related to the Mahler and Koksma approximations Coffee break Algirdas Mačiulis The bounds for the local distance Jonas Šiaulys between arithmetical distributions Renata Macaitien Discrete limit theorems for general Dirichlet series Darius Šiaučiūnas The asymptotics of the fourth power of the periodic zeta-function Jonas Genys A limit theorem for general Dirichlet series Julija Karaliūnait Limit theorems for the periodic zetafunction 4

5 10.00 Excursion to Nida WEDNESDAY THURSDAY Plenary lectures. Chairman Karl-Heinz Indlekofer Eduard Wirsing 1. Representing the Γ-factors in the functional equation in the Selberg class 2. On a result of Hardy Gintautas Bareikis, On the DDT theorem Eugenijus Manstavičius Coffee break Pavel Varbanets Diophantine equations with quadratic forms Bui Minh Phong On multiplicative functions with values in Abelian groups Lunch Lectures. Chairman Vasilii Bernik Anna Baràt On some compactifications of N and their generalizations László Germán The distribution of additive rithmetical functions on the shifted set of integers having k distinct prime factors Vilius Stak nas On the multiples Rūta Ivanauskait Value distribution of zeta-functions of certain cusp forms Roma Kačinskait A discrete limit theorem for the Hurwitz zeta-function with algebraic irrational parameter Conference Dinner, Hotel Vandenis, Birut s al. 47 5

6 09 29 FRIDAY Plenary lectures. Chairman Jean-Loup Mauclaire Artūras Dubickas The Thue-Morse sequence and Mahler s problem Viktor Bykovskii Continuous fractions and their applications Coffee break Lectures Ramūnas Garunkštis Values of the Selberg zeta-function Sergej Varbanets The norm Kloosterman sums Maria Avdeeva The lower bound for the local minima number of integral lattices Lunch Lectures. Chairman Viktor Bykovskii Gintautas Misevičius Central limit theorem of the Fortet-Kac type in the case of algebraic numbers Violeta Balinskait Discrete limit theorems for the Mellin transforms of the Riemann zetafunctions Antanas Laurinčikas Joint value distribution theorems on Lerch zeta-functions Problem session. Chairman Eduard Wirsing Vilius Stak nas Pythagoreans. Video film. Very special edition Closing The organizers of the Conference thank very much all participants for coming to Palanga and hope to see you all here again, and again 6

7 List of participants Giedrius Alkauskas Johan Andersson Maria Avdeeva Violeta Balinskait Anna Baràt Gintautas Bareikis Vasilii Bernik Natalia Budarina Bui Minh Phong Viktor Bykovskii Paulius Drungilas Artūras Dubickas Edmundas Gaigalas Stockholm University, Sweden Institute For Applied Mathematics, Khabarovsk Branch, Russia University of Paderborn, Germany Institute of Mathematics of National Academy of Sciences Belarus Vladimir State Pedagogical University, Russia Eötvös Loránd University, Budapest, Hungary Institute For Applied Mathematics, Khabarovsk Branch, Russia

8 Virginija Garbaliauskien Ramūnas Garunkštis Jonas Genys László Germán Karl-Heinz Indlekofer Rūta Ivanauskait Jonas Jankauskas Algirdas Javtokas Audrius Kač nas Roma Kačinskait Justas Kalpokas Julija Karaliūnait Imre Kátai Ella Kavalevskaya Jonas Kubilius Volha Kukso Antanas Laurinčikas Šiauliai University, Šiauliai University, University of Paderborn, Germany University of Paderborn, Germany Šiauliai University, Eötvös Loránd University, Budapest, Hungary Belarus Agrarian Technological University Institute of Mathematics of National Academy of Sciences of Belarus

9 Renata Macaitien Algirdas Mačiulis Eugenijus Manstavičius Hamletas Markšaitis Kohji Matsumoto Šiauliai University, Nagoya University, Japan Jean-Loup Mauclaire University Paris 6, France Gintautas Misevičius Hidehiko Mishou Takashi Nakamura Tomas Plankis Jonas Šiaulys Vilius Stak nas Gediminas Stepanauskas Joern Steuding Rasa Steuding Darius Šiaučiūnas Anna Tukhvatullina Nagoya University, Japan Nagoya University, Japan Würzburg University, Germany Universidad Autónoma de Madrid, Spain Šiauliai University, Institute For Applied Mathematics, Khabarovsk Branch, Russia

10 Aleksej Ustinov Pavel Varbanets Sergei Varbanets Eduard Wirsing Institute For Applied Mathematics, Khabarovsk Branch, Russia I.I. Mechnikov Odessa National University, Ukraine I.I. Mechnikov Odessa National University, Ukraine Ulm University, Germany 10

Analytic and Probabilistic Methods in Number Theory The Sixth International Conference. Palanga, Lithuania, September 11-17, 2016

Analytic and Probabilistic Methods in Number Theory The Sixth International Conference Palanga,, September 11-17, 2016 Palanga 2016 VILNIUS UNIVERSITY FACULTY OF MATHEMATICS AND INFORMATICS LITHUANIAN