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

Palanga, Lithuania, September 9-15, 2018

FACULTY OF MATHEMATICS AND INFORMATICS OF VILNIUS UNIVERSITY
LITHUANIAN MATHEMATICAL SOCIETYŠIAULIAI UNIVERSITY

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

PROGRAMME
10 SEPTEMBER (MONDAY)„Žilvinas“, Kęstučio str. 32
Chairman Gediminas Stepanauskas
Ramūnas Garunkštis
Vilnius University, Lithuania The scientific work of Antanas
9:30 – 10:05
Laurinčikas
Renata MacaitienėŠiauliai University, Lithuania
The cycles and permutations ofVilius Stakėnas
Professor Eugenijus Manstavičius
10:15 – 10:50
Vilnius University, Lithuania
life
Coffee break
10:50 – 11:30
Chairman Ramūnas GarunkštisŁukasz Pańkowski
Discrete joint universality of
11:30 – 11:55 Adam Mickiewicz University,
dependent L-functions
Poland
12:00 – 12:25

Mehmet Cenkci
Akdeniz University, Turkey

A two-variable Dirichlet series andits applications

Joint denseness of Hurwitz zeta
Hidehiko Mishou
functions with algebraic irrational
12:30 – 12:55
Tokyo Denki University, Japan
parameters in Re s>1
Lunch break
13:00 – 15:00„Žilvinas“, Kęstučio str. 32
Chairwoman Renata Macaitienė
On the discrete mean of theHirotaka Kobayashi
15:00 – 15:20
Nagoya University, Japanderivative of Hardy function
The density function for the valueMasahiro Mine
15:25 – 15:45 Tokyo Institute of Technology, distribution of Lerch zeta-functions
Japanand its applications
On the joint mixed universality
Roma Kačinskaitė
15:50 – 16:10 Vytautas Magnus University, theorems for certain periodic zetaLithuania
functions
On error term estimates à la Walfisz
Yuta Suzuki
for mean values of arithmetic
16:15 – 16:35
Nagoya University, Japanfunctions

„Romuva“, Birutės Alley 37a
Chairman Vilius Stakėnas
On the degree of compositum of two
Paulius Drungilas
15:00 – 15:20
Vilnius University, Lithuania number fields
Bartosz Sobolewski
On the last nonzero digits of n!
15:25 – 15:45 Jagiellonian University,
PolandThe finiteness of solutions ofWataru Takeda
Diophantine equation over number
15:50 – 16:10 Nagoya University, Japan
fieldsArithmetic progressions in the graphs
Kota Saito
16:15 – 16:35
Nagoya University, Japanof slightly curved sequences
Distribution of complex algebraic
Anna Gusakova
16:40 – 17:00
Bielefeld University, Germany numbers on the unit circle
11 SEPTEMBER (TUESDAY)„Žilvinas“, Kęstučio str. 32
Chairman Kohji Matsumoto
A wander between probabilistic
Eugenijus Manstavičius
9:30 – 10:05
Vilnius University, Lithuania number theory and combinatorics
Effectivization problems ofAntanas Laurinčikas
10:15 – 10:50
Vilnius University, Lithuania universality
10:50 – 11:30
Coffee break
Chairman Karl-Heinz Indlekofer
Vasili Bernik
Upper and lower estimates for theInstitute of Mathematics ofnumber of polynomials with given
11:30 – 11:55
National Academy of Sciences,discriminant
BelarusAlexey Ustinov
An elementary approach to Somos
12:00 – 12:25 Pacific National University,
sequences
RussiaA generalization of the ArakawaLevent Kargın
12:30 – 12:55
Akdeniz University, Turkey
Kaneko zeta function
Lunch break
13:00 – 15:00

„Žilvinas“, Kęstučio str. 32
Chairman Hidehiko Mishou
Joint value distribution of Hurwitz
Darius Šiaučiūnas
15:00 – 15:20
Šiauliai University, Lithuania zeta-functions
Another equivalent for the Riemann
Teerapat Srichan
15:25 – 15:45
Kasetsart University, Thailand hypothesis
A weighted universality theorem for
Gediminas Vadeikis
15:50 – 16:10
Vilnius University, Lithuania
the Hurwitz zeta-function
Value distribution of Selberg zetaRaivydas Šimėnas
16:15 – 16:35
Vilnius University, Lithuania
function
Sumaia Saad Eddin Johannes On the values of the Dirichlet
L-functions and of their derivatives
16:40 – 17:00 Kepler University, Austria
at 1+it0„Romuva“, Birutės Alley 37a
Chairman Alexey Ustinov
Central limit theorems for theVytas Zacharovas
15:00 – 15:20
Vilnius University, Lithuania number of parts in a partition
Some results on q-analogue of theMirac Cetin
15:25 – 15:45
Baskent University, Turkey
Chebyshev polynomials
Mapping of the trees of rational
Vilius Stakėnas
15:50 – 16:10
Vilnius University, Lithuania numbers
Counting real algebraic numbers
Alexey Kudin
with bounded derivative of minimal
16:15 – 16:35 University of York,
United Kingdom
polynomialMoments of additive functions
Vytautas Stepas
16:40 – 17:00
Vilnius University, Lithuania defined on random permutations
12 SEPTEMBER (WEDNESDAY)
09:00 – 18:00

Excursion to Nida

13 SEPTEMBER (THURSDAY)„Žilvinas“, Kęstučio str. 32
Chairman Jörn Steuding
Karl-Heinz Indlekofer
On spaces of arithmetical functions
9:30 – 10:05 University of Paderborn,
Germany
Measure of transcendence for theYury Nesterenko
10:15 – 10:50 M. Lomonosov Moscow State exponential function in p-adic
University, Russia
domainCoffee break
10:50 – 11:30
Chairman Yury Nesterenko
Jörn Steuding
Logarithmic meditations
11:30 – 11:55
University of Würzburg, Germany
Nikolai M. Dobrovolskii
Tula State Lev Tolstoy
Classification of purely real
12:00 – 12:25 Pedagogical University, Russia
algebraic irrationalities
Nikolai N. Dobrovolskii
Tula State University, Russia
Weighted simultaneous
Benjamin Ward
Diophantine approximation over
12:30 – 12:55 University of York, United
Kingdomcurves
Lunch break
13:00 – 15:00„Žilvinas“, Kęstučio str. 32
Chairman Łukasz PańkowskiOn some properties of zetaAdelė Vaiginytė
15:00 – 15:20
Vilnius University, Lithuania
function of certain cusp forms
Julija KaraliūnaitėOn fuzzy Dirichlet series
15:25 – 15:45 Vilnius Gediminas TechnicalUniversity, Lithuania
Meromorphic continuation of theAthanasios Sourmelidis
15:50 – 16:10 University of Würzburg, Germany Beatty zeta-function
16:15 – 16:35

Renata MacaitienėŠiauliai University, Lithuania

Universality in the Selberg class„Romuva“, Birutės Alley 37a
Chairman Gintautas Bareikis
Upper bound for numbers withBłażej Żmija
15:00 – 15:20
Jagiellonian University, Poland
the Lehmer property
Jonas Šiaulys,
Probability distributions in
15:25 – 15:45 Gediminas Stepanauskas
number theory
Vilnius University, Lithuania
A relation between the estimate ofShota Inoue
S(t) and zero density estimates in
15:50 – 16:10
Nagoya University, Japan
short intervals
18:30 – 23:00

Conference dinner

14 SEPTEMBER (FRIDAY)„Žilvinas“, Kęstučio str. 32
Chairwoman Roma KačinskaitėOn density functions in the valueKohji Matsumoto
9:30 – 10:05
Nagoya University, Japan
distribution theory of L-functions
Imre Kátai
On regularly varying arithmetical
10:15 – 10:50 Eötvös Loránd University,functions
HungaryCoffee break
10:50 – 11:30
Chairman Imre Kátai
Values of the Riemann zeta function
Ade Irma Suriajaya
on vertical arithmetic progressions
11:30 – 11:55
RIKEN, Japanin the critical strip
Natalia Budarina
Effective estimate for the measure
12:00 – 12:25 Dundalk Institute ofof exceptional sets
Technology, Ireland
Voronin universality for some Weyl
Johan Andersson
12:30 – 12:55
Örebro University, Swedengroup multiple Dirichlet series
Lunch break
13:00 – 15:00

„Žilvinas“, Kęstučio str. 32
Chairman Darius Šiaučiūnas
Some sequences related to the special
Ayhan Dil
15:00 – 15:20
Akdeniz University, Turkey values of the Riemann zeta functionNikolai M. Dobrovolskii
Tula State Lev Tolstoy
The zeta-function is the monoid of
Pedagogical University,
natural numbers with unique
15:25 – 15:45
Russiafactorization
Nikolai N. Dobrovolskii
Tula State University, Russia
Limit theorems for coefficients ofmodified Borwein's method for theIgoris Belovas
15:50 – 16:10
Vilnius University, Lithuania calculation of the Riemann zetafunction values IIOn zeros of certain compositions ofVirginija Garbaliauskienė
16:15 – 16:35
Šiauliai University, Lithuania periodic zeta-functions
On the weighted value distribution ofMindaugas Stoncelis
16:40 – 17:00Vilnius University, Lithuania the periodic zeta-function„Romuva“, Birutės Alley 37a
Chairman Yuta Suzuki
Beta distribution and generalized
Algirdas Mačiulis
15:00 – 15:20
Vilnius University, Lithuania
divisor function
Gintautas Bareikis
Modeling the Dirichlet distribution
15:25 – 15:45
Vilnius University, Lithuania
Large intervals without primes near
Artūras Dubickas
15:50 – 16:10
Vilnius University, Lithuania
linear recurrences

List of participants
Johan Andersson
Gintautas Bareikis
Igoris Belovas

Vasili Bernik

Natalia Budarina
Mehmet Cenkci
Mirac Cetin
Ayhan DilNikolai Dobrovolskii
Paulius Drungilas
Artūras Dubickas
Virginija
GarbaliauskienėRamūnas Garunkštis
Anna Gusakova
Karl-Heinz Indlekofer
Inoue Shota
Roma KačinskaitėJulija Karaliūnaitė
Levent KargınÖrebro University,
SwedenVilnius University,
Lithuania
Vilnius University,
Lithuania
Institute ofMathematics of
National Academy ofSciences, Belarus
Dundalk Institute ofTechnology, Ireland
Akdeniz University,
TurkeyBaskent University,
TurkeyAkdeniz University,
TurkeyTula State Lev Tolstoy
PedagogicalUniversity, Russia
Vilnius University,
Lithuania
Vilnius University,
LithuaniaŠiauliai University,
Lithuania
Vilnius University,
Lithuania
Bielefeld University,
Germany
University ofPaderborn, Germany
Nagoya University,Japan
Vytautas Magnus
University, Lithuania
Vilnius Gediminas
Technical University,
Lithuania
Akdeniz University,
Turkeyjohan.andersson@oru.se
gintautas.bareikis@mif.vu.lt
igor.a.belov@gmail.com

bernik.vasili@mail.ru

buda77@mail.ru
cenkci@akdeniz.edu.tr
mcetin@baskent.edu.tr
adil@akdeniz.edu.tr
dobrovol@tsput.ru
pdrungilas@gmail.com
arturas.dubickas@mif.vu.lt
virginija.garbaliauskiene@su.lt
ramunas.garunkstis@mif.vu.lt
gusakova.anna.0@gmail.com
k-heinz@math.uni-paderborn.de
m16006w@math.nagoya-u.ac.jp
roma.kacinskaite@vdu.lt
julija.karaliunaite@vgtu.lt
lkargin@akdeniz.edu.tr

Imre Kátai
Hirotaka Kobayashi
Alexey Kudin
Antanas Laurinčikas
Renata MacaitienėAlgirdas Mačiulis
Eugenijus
Manstavičius
Kohji Matsumoto
Masahiro Mine
Hidehiko Mishou
Yury NesterenkoŁukasz Pańkowski
Sumaia Saad Eddin
Kota Saito
Christof Schmeller
Bartosz Sobolewski
Athanasios
Sourmelidis
Teerapat Srichan
Vilius StakėnasGediminas
Stepanauskas
Vytautas Stepas
Jörn Steuding

Eötvös Loránd
University, Hungary
Nagoya University,
Japan
University of York,
United Kingdom
Vilnius University,
LithuaniaŠiauliai University,Lithuania
Vilnius University,
Lithuania
Vilnius University,
Lithuania
Nagoya University,
Japan
Tokyo Institute ofTechnology, JapanTokyo DenkiUniversity, Japan
Lomonosov Moscow
State University,Russia
Adam Mickiewicz
University, Poland
Johannes Kepler
University, Austria
Nagoya University,
Japan
University ofWürzburg, Germany
Jagiellonian
University, Poland
University ofWürzburg, Germany
Kasetsart University,
ThailandVilnius University,
Lithuania
Vilnius University,
Lithuania
Vilnius University,
Lithuania
University of
Würzburg, Germanykatai@inf.elte.hu
m17011z@math.nagoya-u.ac.jp
knxd@yandex.ru
antanas.laurincikas@mif.vu.lt
renata.macaitiene@su.lt
algirdas.maciulis@mif.vu.lt
eugenijus.manstavicius@mif.vu.lt
kohjimat@math.nagoya-u.ac.jp
mine.m.aa@m.titech.ac.jp
h_mishou@mail.dendai.ac.jp
nester@mi.ras.ru
lpan@amu.edu.pl
sumaia.saad_eddin@jku.at
kota.saito.1729@gmail.com
Schmellanos234@t-online.dechristof.schmeller@db.com
bartosz.sobolewski@
doctoral.uj.edu.pl
athanasios.sourmelidis@
mathematik.uni-wuerzburg.de
fscitrp@ku.ac.th
vilius.stakenas@mif.vu.lt
gediminas.stepanauskas@mif.vu.lt
vytautas.stepas@mif.vu.lt
steuding@mathematik.uniwuerzburg.deMindaugas Stoncelis
Ade Irma Suriajaya
Yuta Suzuki
Darius ŠiaučiūnasJonas Šiaulys
Raivydas Šimėnas
Wataru Takeda
Alexey Ustinov
Gediminas VadeikisAdelė Vaiginytė
Benjamin Ward
Vytas ZacharovasBłażej Żmija

Vilnius University,
Lithuania
RIKEN, Japan
Nagoya University,JapanŠiauliai University,
Lithuania
Vilnius University,
Lithuania
Vilnius University,
Lithuania
Nagoya University,
Japan
Pacific National
University, Russia
Vilnius University,
Lithuania
Vilnius University,
Lithuania
University of York,
United Kingdom
Vilnius University,
Lithuania
Jagiellonian
University, Poland

mindaugas.stoncelis@mif.vu.lt
adeirmasuriajaya@riken.jp
suzuyu1729@gmail.com
darius.siauciunas@su.lt
jonas.siaulys@mif.vu.lt
raivydas.simenas@mif.vu.lt
d18002r@math.nagoya-u.ac.jp
ustinov.alexey@gmail.com
gediminas.vadeikis@gmail.com
adelevaiginyte@gmail.com
bw744@york.ac.uk
vytas.zacharovas@mif.vu.lt
blazejz@poczta.onet.pl