Geodesic
On the conference to the memory of Anatoly Alexeevitch Karatsuba on~number theory and applications
Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 89-152.

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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.
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. 
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E. A. Karatsuba; M. A. Korolev; I. S. Rezvyakova; V. N. Chubarikov. On the conference to the memory of Anatoly Alexeevitch Karatsuba on~number theory and applications. Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 89-152. http://geodesic.mathdoc.fr/item/CHEB_2015_16_1_a5/

[1] N. V. Budarina, V. I. Bernik, Kh. O'Donnell, Kak zavisyat diskriminanty tselochislennykh mnogochlenov ot vzaimnogo raspolozheniya kornei?, Chebyshevskii sbornik, 16:1 (2015)

[2] O. A. Gorkusha, “Sovmestnoe raspredelenie primitivnykh tselykh tochek v zamknutoi oblasti”, Chebyshevskii sbornik, 16:1 (2015), 163–175

[3] N. M. Dobrovolskii, “O sovremennykh problemakh teorii giperbolicheskoi dzeta-funktsii reshetok”, Chebyshevskii sbornik, 16:1 (2015), 176–190

[4] D. V. Koleda, “Ob asimptotike raspredeleniya algebraicheskikh chisel pri vozrastanii ikh vysot”, Chebyshevskii sbornik, 16:1 (2015), 191–204

[5] A. Laurinchikas, D. Korsakene, D. Shyauchyunas, “Sovmestnaya diskretnaya universalnost $L$-funktsii Dirikhle II”, Chebyshevskii sbornik, 16:1 (2015), 205–218

[6] R. Matsaitene, “Sovmestnaya universalnost $L$-funktsii klassa Selberga i dzeta-funktsii Gurvitsa s periodicheskimi koeffitsientami”, Chebyshevskii sbornik, 16:1 (2015), 219–231

[7] Z. Kh. Rakhmonov, N. N. Nazrublloev, A. O. Rakhimov, “Korotkie summy G. Veilya i ikh prilozheniya”, Chebyshevskii sbornik, 16:1 (2015), 232–247

[8] P. Z. Rakhmonov, “Obobschënnaya ternarnaya problema Estermana dlya netselykh stepenei s pochti ravnymi slagaemymi”, Chebyshevskii sbornik, 16:1 (2015), 248–253

[9] A. V. Ustinov, “O raspredelenii tochek tselochislennoi reshetki”, Dalnevostochnyi matematicheskii zhurnal, 9:1–2 (2009), 176–181

[10] A. V. Ustinov, “O chisle reshenii sravneniya $xy\equiv l(mod q)$ pod grafikom dvazhdy nepreryvno differentsiruemoi funktsii”, Algebra i analiz, 20:5 (2008), 186–216

[11] V. G. Chirskii, “Arifmeticheskie svoistva tselykh poliadicheskikh chisel”, Chebyshevskii sbornik, 16:1 (2015), 254–264

[12] Boca F. P., Cobeli C., Zaharescu A., “Distribution of lattice points visible from the origin”, Comm. Math. Phys., 20 (2000), 433–470 | DOI

[13] N. G. Moshchevitin, “On Minkowski diagonal continued fraction”, Anal. Probab. Methods Nubmer Theory, Proceedings of the conference (Palanga, Sept. 2011), eds. E. Manstavicius et al., 2012, 193–202, arXiv: 1202.4622v2