Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +7 (4212) 32 46 76
Fax: +7 (4212) 32 46 76
E-mail: Website: https://www.hse.ru/en/org/persons/530309935 Keywords: analytic number theory,
continued fractions,
Kloosterman sums,
geometry of numbers.
UDC: 511.218, 511.33, 511.335, 511.336, 511.37, 511.51, 519.68, 517.524, 519.21, 510.52, 519.712.61, 511.512, 511.528, 514.174.6
Subject:
Analytic number theory
Main publications:
M. B. Skopenkov, A. V. Ustinov, “Feynman checkers: towards algorithmic quantum theory”, Uspekhi Mat. Nauk, 77:3(465) (2022), 73–160; Russian Math. Surveys, 77:3 (2022), 445–530
A. V. Ustinov, “Three-dimensional continued fractions and Kloosterman sums”, Uspekhi Mat. Nauk, 70:3(423) (2015), 107–180; Russian Math. Surveys, 70:3 (2015), 483–556
A. V. Ustinov, “Spin chains and Arnolds problem on the Gauss-Kuzmin statistics for quadratic irrationals”, Mat. Sb., 204:5 (2013), 143–160; Sb. Math., 204:5 (2013), 762–779
V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Mat. Sb., 206:11 (2015), 19–60; Sb. Math., 206:11 (2015), 1524–1563
A. V. Ustinov, “On the distribution of Frobenius numbers with three arguments”, Izv. RAN. Ser. Mat., 74:5 (2010), 145–170; Izv. Math., 74:5 (2010), 1023–1049