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Ustinov Alexey Vladimirovich
Ustinov Alexey Vladimirovich
Professor of Russian Academy of Sciences
Associate professor
Doctor of physico-mathematical sciences (2009)

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:
  1. M. B. Skopenkov, A. V. Ustinov, “Feynman checkers: towards algorithmic quantum theory”, Uspekhi Mat. Nauk, 77:3(465) (2022), 73–160  mathnet  crossref; Russian Math. Surveys, 77:3 (2022), 445–530  crossref
  2. A. V. Ustinov, “Three-dimensional continued fractions and Kloosterman sums”, Uspekhi Mat. Nauk, 70:3(423) (2015), 107–180  mathnet  crossref  mathscinet  zmath  adsnasa  elib; Russian Math. Surveys, 70:3 (2015), 483–556  crossref  isi  scopus
  3. A. V. Ustinov, “Spin chains and Arnolds problem on the Gauss-Kuzmin statistics for quadratic irrationals”, Mat. Sb., 204:5 (2013), 143–160  mathnet  crossref  mathscinet  zmath  adsnasa  elib; Sb. Math., 204:5 (2013), 762–779  crossref  isi  elib  scopus
  4. V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Mat. Sb., 206:11 (2015), 19–60  mathnet  crossref  mathscinet  adsnasa  elib; Sb. Math., 206:11 (2015), 1524–1563  crossref  isi  scopus
  5. A. V. Ustinov, “On the distribution of Frobenius numbers with three arguments”, Izv. RAN. Ser. Mat., 74:5 (2010), 145–170  mathnet  crossref  mathscinet  zmath  adsnasa  elib; Izv. Math., 74:5 (2010), 1023–1049  crossref  isi  elib  scopus

Publications in Math-Net.Ru

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© Steklov Math. Inst. of RAS, 2026