On the conference to the memory of Anatoly Alexeevitch Karatsuba on~number theory and applications

E. A. Karatsuba ; M. A. Korolev ; I. S. Rezvyakova ; V. N. Chubarikov

Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 89-152

Résumé

In January, 2014, the I'st one-day international “Conference to the Memory of A. A. Karatsuba on Number Theory and Applications” took place in Steklov Mathematical Institute of Russian Academy of sciences. The aims of this conference were presentation of new and important results in different branches of number theory (especially in branches connected with works of A. A. Karatsuba), the exchange by new number-theoretical ideas and insight with new methods and tendencies in number theory. The 2'nd Conference was organized by Steklov Mathematical Institute of Russian Academy of sciences together with Moscow State university in January, 2015. The present paper contains wide annotations of reports of 2'nd Conference. Bibliography: 13 titles.

Détail

Keywords: Wilton's functional equation, integer polynomials with given discriminants, sums with prime numbers, primes of special type, primitive integer points, the zeros of Dirichlet series, hyperbolic zeta function of lattices, the asymptotic distribution of algebraic numbers, pair correlation of zeros of $ \zeta (s) $, discrete and joint universality of Dirichlet's $L$-functions, Diophantine spectra Catalan's constant, the problem of range, short Weyl sums, ternary problem of Estermann, the distribution of integer random variables, the exponents of convergence of multidimensional additive problems, a sum of products of sets, trigonometric sums.