International Conference on Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius

Transcription

1 International Conference on Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius Palanga,, September 9-15, 2018

2 FACULTY OF MATHEMATICS AND INFORMATICS OF VILNIUS UNIVERSITY LITHUANIAN MATHEMATICAL SOCIETY ŠIAULIAI UNIVERSITY International Conference on Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius Palanga,, 9-15 September 2018 Organizing and Program Committee: Gediminas Stepanauskas (Vilnius University) Chairman of Conference Organizing Committee Artūras Dubickas (Vilnius University) Chairman of the Program Committee Gintautas Bareikis (Vilnius University) Paulius Drungilas (Vilnius University) Virginija Garbaliauskienė (Šiauliai University) Ramūnas Garunkštis (Vilnius University) Renata Macaitienė (Šiauliai University) Algirdas Mačiulis (Vilnius University) Vilius Stakėnas (Vilnius University) Vytautas Stepas (Vilnius University) Mindaugas Stoncelis (Šiauliai University) Darius Šiaučiūnas (Šiauliai University) Jonas Šiaulys (Vilnius University)

3 9:30 10:05 10:15 10:50 PROGRAMME 10 SEPTEMBER (MONDAY) Chairman Gediminas Stepanauskas Ramūnas Garunkštis Renata Macaitienė Šiauliai University, Vilius Stakėnas The scientific work of Antanas Laurinčikas The cycles and permutations of Professor Eugenijus Manstavičius life 10:50 11:30 Coffee break Chairman Ramūnas Garunkštis Łukasz Pańkowski Discrete joint universality of 11:30 11:55 Adam Mickiewicz University, dependent L-functions Poland 12:00 12:25 12:30 12:55 Mehmet Cenkci Akdeniz University, Turkey Hidehiko Mishou Tokyo Denki University, A two-variable Dirichlet series and its applications Joint denseness of Hurwitz zeta functions with algebraic irrational parameters in Re s>1 13:00 15:00 Lunch break Chairwoman Renata Macaitienė Hirotaka Kobayashi On the discrete mean of the derivative of Hardy function Masahiro Mine Tokyo Institute of Technology, Roma Kačinskaitė Vytautas Magnus University, Yuta Suzuki The density function for the valuedistribution of Lerch zeta-functions and its applications On the joint mixed universality theorems for certain periodic zetafunctions On error term estimates à la Walfisz for mean values of arithmetic functions

4 16:40 17:00 Romuva, Birutės Alley 37a Chairman Vilius Stakėnas Paulius Drungilas Bartosz Sobolewski Jagiellonian University, Poland Wataru Takeda Kota Saito Anna Gusakova Bielefeld University, Germany On the degree of compositum of two number fields On the last nonzero digits of n! The finiteness of solutions of Diophantine equation over number fields Arithmetic progressions in the graphs of slightly curved sequences Distribution of complex algebraic numbers on the unit circle 9:30 10:05 11 SEPTEMBER (TUESDAY) Chairman Kohji Matsumoto Eugenijus Manstavičius A wander between probabilistic number theory and combinatorics Antanas Laurinčikas 10:15 10:50 10:50 11:30 Coffee break Chairman Karl-Heinz Indlekofer Vasili Bernik Institute of Mathematics of 11:30 11:55 National Academy of Sciences, Belarus Alexey Ustinov 12:00 12:25 Pacific National University, Russia Levent Kargın 12:30 12:55 Akdeniz University, Turkey 13:00 15:00 Lunch break Effectivization problems of universality Upper and lower estimates for the number of polynomials with given discriminant An elementary approach to Somos sequences A generalization of the Arakawa- Kaneko zeta function

5 16:40 17:00 16:40 17:00 Chairman Hidehiko Mishou Darius Šiaučiūnas Joint value distribution of Hurwitz Šiauliai University, zeta-functions Teerapat Srichan Another equivalent for the Riemann Kasetsart University, Thailand hypothesis Gediminas Vadeikis A weighted universality theorem for the Hurwitz zeta-function Raivydas Šimėnas Value distribution of Selberg zetafunction Sumaia Saad Eddin Johannes Kepler University, Austria On the values of the Dirichlet L-functions and of their derivatives at 1+it 0 Romuva, Birutės Alley 37a Chairman Alexey Ustinov Vytas Zacharovas Mirac Cetin Baskent University, Turkey Vilius Stakėnas Alexey Kudin University of York, United Kingdom Vytautas Stepas Central limit theorems for the number of parts in a partition Some results on q-analogue of the Chebyshev polynomials Mapping of the trees of rational numbers Counting real algebraic numbers with bounded derivative of minimal polynomial Moments of additive functions defined on random permutations 09:00 18:00 Excursion to Nida 12 SEPTEMBER (WEDNESDAY)

6 9:30 10:05 13 SEPTEMBER (THURSDAY) Chairman Jörn Steuding Karl-Heinz Indlekofer University of Paderborn, On spaces of arithmetical functions Germany Yury Nesterenko 10:15 10:50 M. Lomonosov Moscow State University, Russia 10:50 11:30 Coffee break 11:30 11:55 12:00 12:25 12:30 12:55 Measure of transcendence for the exponential function in p-adic domain Chairman Yury Nesterenko Jörn Steuding Logarithmic meditations University of Würzburg, Germany Nikolai M. Dobrovolskii Tula State Lev Tolstoy Pedagogical University, Russia Nikolai N. Dobrovolskii Tula State University, Russia Benjamin Ward University of York, United Kingdom Classification of purely real algebraic irrationalities Weighted simultaneous Diophantine approximation over curves 13:00 15:00 Lunch break Chairman Łukasz Pańkowski Adelė Vaiginytė On some properties of zetafunction of certain cusp forms Julija Karaliūnaitė Vilnius Gediminas Technical On fuzzy Dirichlet series University, Athanasios Sourmelidis University of Würzburg, Germany Renata Macaitienė Šiauliai University, Meromorphic continuation of the Beatty zeta-function Universality in the Selberg class

7 Romuva, Birutės Alley 37a Chairman Gintautas Bareikis Błażej Żmija Upper bound for numbers with Jagiellonian University, Poland the Lehmer property Jonas Šiaulys, Gediminas Stepanauskas Shota Inoue Probability distributions in number theory A relation between the estimate of S(t) and zero density estimates in short intervals 18:30 23:00 Conference dinner 14 SEPTEMBER (FRIDAY) Chairwoman Roma Kačinskaitė Kohji Matsumoto 9:30 10:05 Imre Kátai 10:15 10:50 Eötvös Loránd University, Hungary 10:50 11:30 Coffee break Chairman Imre Kátai 11:30 11:55 Ade Irma Suriajaya RIKEN, Natalia Budarina 12:00 12:25 Dundalk Institute of Technology, Ireland Johan Andersson 12:30 12:55 Örebro University, Sweden 13:00 15:00 Lunch break On density functions in the valuedistribution theory of L-functions On regularly varying arithmetical functions Values of the Riemann zeta function on vertical arithmetic progressions in the critical strip Effective estimate for the measure of exceptional sets Voronin universality for some Weyl group multiple Dirichlet series

8 16:40 17:00 Chairman Darius Šiaučiūnas Ayhan Dil Akdeniz University, Turkey Nikolai M. Dobrovolskii Tula State Lev Tolstoy Pedagogical University, Russia Nikolai N. Dobrovolskii Tula State University, Russia Igoris Belovas Virginija Garbaliauskienė Šiauliai University, Some sequences related to the special values of the Riemann zeta function The zeta-function is the monoid of natural numbers with unique factorization Limit theorems for coefficients of modified Borwein's method for the calculation of the Riemann zetafunction values II On zeros of certain compositions of periodic zeta-functions Mindaugas Stoncelis On the weighted value distribution of the periodic zeta-function Romuva, Birutės Alley 37a Chairman Yuta Suzuki Algirdas Mačiulis Gintautas Bareikis Artūras Dubickas Beta distribution and generalized divisor function Modeling the Dirichlet distribution Large intervals without primes near linear recurrences

9 List of participants Johan Andersson Gintautas Bareikis Igoris Belovas Vasili Bernik Natalia Budarina Mehmet Cenkci Mirac Cetin Ayhan Dil Nikolai Dobrovolskii Paulius Drungilas Artūras Dubickas Virginija Garbaliauskienė Ramūnas Garunkštis Anna Gusakova Karl-Heinz Indlekofer Inoue Shota Roma Kačinskaitė Julija Karaliūnaitė Levent Kargın Örebro University, Sweden Institute of Mathematics of National Academy of Sciences, Belarus Dundalk Institute of Technology, Ireland Akdeniz University, Turkey Baskent University, Turkey Akdeniz University, Turkey Tula State Lev Tolstoy Pedagogical University, Russia Šiauliai University, Bielefeld University, Germany University of Paderborn, Germany Vytautas Magnus University, Vilnius Gediminas Technical University, Akdeniz University, Turkey

10 Imre Kátai Hirotaka Kobayashi Alexey Kudin Antanas Laurinčikas Renata Macaitienė Algirdas Mačiulis Eugenijus Manstavičius Kohji Matsumoto Masahiro Mine Hidehiko Mishou Yury Nesterenko Łukasz Pańkowski Sumaia Saad Eddin Kota Saito Christof Schmeller Bartosz Sobolewski Athanasios Sourmelidis Teerapat Srichan Vilius Stakėnas Gediminas Stepanauskas Vytautas Stepas Jörn Steuding Eötvös Loránd University, Hungary University of York, United Kingdom Šiauliai University, Tokyo Institute of Technology, Tokyo Denki University, Lomonosov Moscow State University, Russia Adam Mickiewicz University, Poland Johannes Kepler University, Austria University of Würzburg, Germany Jagiellonian University, Poland University of Würzburg, Germany Kasetsart University, Thailand University of Würzburg, Germany doctoral.uj.edu.pl mathematik.uni-wuerzburg.de

11 Mindaugas Stoncelis Ade Irma Suriajaya RIKEN, Yuta Suzuki Darius Šiaučiūnas Jonas Šiaulys Raivydas Šimėnas Wataru Takeda Alexey Ustinov Gediminas Vadeikis Adelė Vaiginytė Benjamin Ward Vytas Zacharovas Błażej Żmija Šiauliai University, Pacific National University, Russia University of York, United Kingdom Jagiellonian University, Poland