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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.)

Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications

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 number-theoretic 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).

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Рoster

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 Nikolay 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

Institutions
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 (Thu)
1. Rational arithmetical sums and integrals
V. N. Chubarikov
January 28, 2016 10:05–10:30, 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 		V. N. Chubarikov
  
2. On the zeroes of the function of Davenport and Heilbronn lying on the critical line
S. A. Gritsenko
January 28, 2016 10:35–10:50, 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 		S. A. Gritsenko
  
3. Sums of characters modulo a cubefree at shifted primes
Z. Kh. Rakhmonov
January 28, 2016 11:05–11:30, 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 		Z. Kh. Rakhmonov
  
4. Karatsuba's method of estimating of short Kloosterman sums
M. A. Korolev
January 28, 2016 12:00–12:25, 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 		M. A. Korolev
  
5. Stanley-Reisner rings associated to matroids and codes
T. Johnsen
January 28, 2016 12:30–12:55, 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 		T. Johnsen
  
6. The hyperbolic circle problem
M. Risager
January 28, 2016 13:00–13:25, 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 		M. Risager
  
7. Locally Antipodal Delone Sets
N. P. Dolbilin
January 28, 2016 15:00–15:25, 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 		N. P. Dolbilin
  
8. A strengthening of Porter's result
D. A. Frolenkov
January 28, 2016 15:30–16:00, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10 		D. A. Frolenkov
  
9. Contribution to the theory of hyperbolic zeta-functions of the lattices
N. M. Dobrovol'skii
January 28, 2016 16:00–16:25, 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 		N. M. Dobrovol'skii
  
10. Characters sums with additive convolutions
I. D. Shkredov
January 28, 2016 17:00–17:25, 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 		I. D. Shkredov
  
11. The joint distribution of real conjugate algebraic numbers
D. V. Koleda
January 28, 2016 17:30–17:55, 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 		D. V. Koleda
  

January 29, 2016 (Fri)
12. Universality of the Epstein zeta-function in the lattice aspect
J. F. Andersson
January 29, 2016 10:05–10:30, 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 		J. F. Andersson
  
13. Sums involving Fourier coefficients of automorphic forms
E. V. Vesalainen
January 29, 2016 10:35–11:00, 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 		E. V. Vesalainen
  
14. The influence of singularities in the problem of the exponent of convergence in multidimensional Tarry's problem
I. Sh. Dzhabbarov
January 29, 2016 11:05–11:05, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10 		I. Sh. Dzhabbarov
  
15. Selberg method and an additive problem in the theory of $L$-functions
I. S. Rezvyakova
January 29, 2016 12:00–12:25, 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 		I. S. Rezvyakova
  
16. On the Bombieri-Pila method over function fields
A. A. Sedunova
January 29, 2016 12:30–12:55, 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 13:00–13:25, 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 		A. B. Kalmynin
  
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 15:00–15:25, 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 		D. A. Popov
  
19. Balanced factorisations
A. N. Vasil'ev
January 29, 2016 15:30–15:55, 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 		A. N. Vasil'ev
  
20. On the application of discrete ergodic method in analytic theory of diophantine equations
U. M. Pachev
January 29, 2016 16:00–16:25, 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 		U. M. Pachev
  
21. On the integers whose number of prime factors belongs to given class of residues
M. E. Changa
January 29, 2016 17:00–17:25, 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 		M. E. Changa
  
22. On a functional analog of the Thue-Siegel-Roth theorem
A. I. Aptekarev
January 29, 2016 17:30–17:55, 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 		A. I. Aptekarev
  

January 30, 2016 (Sat)
23. On the arithmetic complexity of some linear mappings
S. B. Gashkov, I. S. Sergeev
January 30, 2016 10:05–10:30, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
24. The method of moments and its applications in number theory
R. N. Boyarinov
January 30, 2016 10:35–11:00, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
25. The Riemann-Roch theorem and periodicity of continued fractions in hyperelliptic fields
G. V. Fedorov
January 30, 2016 11:05–11:30, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
26. On representing positive integers by sums of certain summands
V. G. Chirskii
January 30, 2016 12:00–12:25, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
27. Cyclic palindromes and periodic continued fractions
O. N. German
January 30, 2016 12:30–12:55, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
28. Cassels' theorem on small zeros of quadratic forms revisited
N. G. Moshchevitin
January 30, 2016 13:00–13:25, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
29. On the fractional [parts connecter with the function $N/x$
A. V. Shubin
January 30, 2016 14:00–14:25, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
30. From Diophantine approximations to fundamental units of algebraic fields
A. D. Bruno
January 30, 2016 14:30–15:50, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, GSP-1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 16-10
 
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