Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications (January 28–30, 2016, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University.)
The aim of yearly "Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications" is presentation of some new and important results in different branches of number theory: analytical number theory, diophantine approximations, computational aspects of number theory and in applications of numbertheoretic methods to other branches of mathematics and other sciences. Another aim of the Conference is the exchange of new ideas and insight with new tendencies in the development of number theory, especially in its fields which are connected with researches and discoveries of A.A. Karatsuba.
The first conference took place on 31 of Janyary, 2014, in Steklov Mathematical Institute of Russian Academy of Sciences (Moscow), and the second one was held from Janyary 30 to 31, 2015, in Steklov Mathematical Institute of Russian Academy of Sciences (Janyary, 30) and in Department of Mechanics and Mathematics of Lomonosov Moscow State University
(Janyary, 31).
Conference poster
Organizers
Karatsuba Ekatherina Anatol'evna
Rezvyakova Irina Sergeevna
Chubarikov Vladimir Nikolaevich
Korolev Maxim Aleksandrovich
Program Committee
Gritsenko Sergey Alexandrovich
Nesterenko Yuri Valentinovich
Rezvyakova Irina Sergeevna
Changa Maris Evgen'evich
Ivić Aleksandar
Jutila Matti
Konyagin Sergei Vladimirovich
Odlyzko Andrew M
Participants
Andersson Johan Fredrick
Aptekarev Alexander Ivanovich
Boyarinov Roman Nikolaevich
Bruno Alexander Dmitrievich
Changa Maris Evgen'evich
Chirskii Vladimir Grigor'evich
Chubarikov Vladimir Nikolaevich
Dobrovol'skii Nikolai Mikhailovich
Dolbilin Nikolai Petrovich
Fedorov Gleb Vladimirovich
Frolenkov Dmitry Andreevich
Gashkov Sergey Borisovich
German Oleg Nikolaevich
Gritsenko Sergey Alexandrovich
Jabbarov (Dzhabbarov) Ilgar Shikar oglu
Johnsen Trygve
Kalmynin Aleksandr Borisovich
Koleda Denis Vladimirovich
Korolev Maxim Aleksandrovich
Moshchevitin Nikolai Germanovich
Nesterenko Yuri Valentinovich
Pachev Urusbi Mukhamedovich
Popov Dmitrii Aleksandrovich
Rakhmonov Zarullo Khusenovich
Rezvyakova Irina Sergeevna
Risager Morten Skarsholm
Sedunova A A
Shkredov Ilya Dmitrievich
Shubin Andrey Vitalievich
Vasil'ev Anton Nikolaevich
Vesalainen Esa Vasili
Organisations
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow Steklov Mathematical Institute of Russian Academy of Sciences, Moscow 

Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., January 28–30, 2016 


January 28, 2016 

1. 
Rational arithmetical sums and integrals V. N. Chubarikov January 28, 2016 10:05, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





2. 
On the zeroes of the function of Davenport and Heilbronn lying on the critical line S. A. Gritsenko January 28, 2016 10:35, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





3. 
Sums of characters modulo a cubefree at shifted primes Z. Kh. Rakhmonov January 28, 2016 11:05, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





4. 
Karatsuba's method of estimating of short Kloosterman sums M. A. Korolev January 28, 2016 12:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





5. 
StanleyReisner rings associated to matroids and codes T. Johnsen January 28, 2016 12:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





6. 
The hyperbolic circle problem M. Risager January 28, 2016 13:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





7. 
Locally Antipodal Delone Sets N. P. Dolbilin January 28, 2016 15:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





8. 
A strengthening of Porter's result D. A. Frolenkov January 28, 2016 15:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





9. 
Contribution to the theory of hyperbolic zetafunctions of the lattices N. M. Dobrovol'skii January 28, 2016 16:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





10. 
Characters sums with additive convolutions I. D. Shkredov January 28, 2016 17:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





11. 
The joint distribution of real conjugate algebraic numbers D. V. Koleda January 28, 2016 17:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall






January 29, 2016 

12. 
Universality of the Epstein zetafunction in the lattice aspect J. F. Andersson January 29, 2016 10:05, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





13. 
Sums involving Fourier coefficients of automorphic forms E. V. Vesalainen January 29, 2016 10:35, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





14. 
The influence of singularities in the problem of the exponent of convergence in multidimensional Tarry's problem I. Sh. Dzhabbarov January 29, 2016 11:05, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





15. 
Selberg method and an additive problem in the theory of $L$functions I. S. Rezvyakova January 29, 2016 12:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





16. 
On the BombieriPila method over function fields A. A. Sedunova January 29, 2016 12:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





17. 
On Nowak numbers A. B. Kalmynin January 29, 2016 13:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





18. 
On a discrete spectrum of Laplace operator on the fundamental domain of modular group and Chebyshev's function D. A. Popov January 29, 2016 15:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





19. 
Balanced factorisations A. N. Vasil'ev January 29, 2016 15:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





20. 
On the application of discrete ergodic method in analytic theory of diophantine equations. U. M. Pachev January 29, 2016 16:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





21. 
On the integers whose number of prime factors belongs to given class of residues M. E. Changa January 29, 2016 17:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall





22. 
On a functional analog of the ThueSiegelRoth theorem A. I. Aptekarev January 29, 2016 17:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall






January 30, 2016 

23. 
On the arithmetic complexity of some linear mappings S. B. Gashkov, I. S. Sergeev January 30, 2016 10:05, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





24. 
The method of moments and its applications in number theory R. N. Boyarinov January 30, 2016 10:35, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





25. 
The RiemannRoch theorem and periodicity of continued fractions in hyperelliptic fields G. V. Fedorov January 30, 2016 11:05, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





26. 
On representing positive integers by sums of certain summands V. G. Chirskii January 30, 2016 12:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





27. 
Cyclic palindromes and periodic continued fractions O. N. German January 30, 2016 12:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





28. 
Cassels' theorem on small zeros of quadratic forms revisited N. G. Moshchevitin January 30, 2016 13:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





29. 
On the fractional [parts connecter with the function $N/x$. A. V. Shubin January 30, 2016 14:00, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





30. 
From Diophantine approximations to fundamental units of algebraic fields A. D. Bruno January 30, 2016 14:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610





