Persons: Fedorov, Gleb Vladimirovich

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Fedorov, Gleb Vladimirovich

Statistics
in MathSciNet:	13 (13)
in zbMATH:	13 (13)
in Web of Science:	13 (13)
in Scopus:	17 (17)

Doctor of physico-mathematical sciences (2025)

E-mail:

;

Website:

https://istina.msu.ru/profile/FedorovGleb/

Keywords:

Divisor function, S-units and fundamental units of hyperelliptic fields, torsion points in Jacobian, continued fractions.

UDC:

511.2, 511.41, 512.772.7, 512.75

https://www.mathnet.ru/eng/person31327

List of publications on Google Scholar

https://elibrary.ru/author_items.asp?authorid=631227

ISTINA

https://istina.msu.ru/workers/3061420

https://orcid.org/0000-0002-8373-7766

https://publons.com/researcher/D-9498-2019

https://www.webofscience.com/wos/author/record/D-9498-2019

https://www.scopus.com/authid/detail.url?authorId=55534815600

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559
2.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Continued Rational Fractions in Hyperelliptic Fields and the Mumford Representation”, Dokl. Math., 94:3 (2016), 692–696
3.	V. P. Platonov, G. V. Fedorov, “$S$-units and periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 92:3 (2015), 752–756
4.	V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 95:3 (2017), 254–258
5.	V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in elliptic fields”, Dokl. Math., 96:1 (2017), 332–335
6.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “On the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field”, Dokl. Math., 98:2 (2018), 430–434
7.	V. P. Platonov, G. V. Fedorov, “On the problem of classification of periodic continued fractions in hyperelliptic fields”, Russian Math. Surveys, 75:4 (2020), 785–787
8.	V. P. Platonov, G. V. Fedorov, “On the classification problem for polynomials $f$ with a periodic continued fraction expansion of $\sqrt{f}$ in hyperelliptic fields”, Izv. Math., 85:5 (2021), 972–1007
9.	G. V. Fedorov, “On the period length of a functional continued fraction over a number field”, Dokl. Math., 102:3 (2020), 513–517
10.	V. P. Platonov, G. V. Fedorov, “The criterion of periodicity of continued fractions of key elements in hyperelliptic fields”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 262–269
11.	G. V. Fedorov, “On boundedness of period lengths of continued fractions of key elements hyperelliptic fields over the field of rational numbers”, Chebyshevskii Sb., 20:4 (2019), 357–370
12.	G. V. Fedorov, “On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic fields”, Dokl. Math., 106:1 (2022), 259–264
13.	G. V. Fedorov, “On $S$-units for valuations of the second degree in hyperelliptic fields”, Izv. Math., 84:2 (2020), 392–435
14.	G. V. Fedorov, “Periodic continued fractions and $S$-units with second degree valuations in hyperelliptic fields”, Chebyshevskii Sb., 19:3 (2018), 282–297
15.	V. P. Platonov, G. V. Fedorov, “An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28”, Dokl. Math., 98:2 (2018), 468–471
16.	V. P. Platonov, G. V. Fedorov, “An infinite family of curves of genus 2 over the field of rational numbers whose jacobian varieties contain rational points of order 28”, Doklady Mathematics, 98:2 (2018), 468–471
17.	G. V. Fedorov, “On a theorem of A.I. Pavlov”, Doklady Mathematics, 86:2 (2012), 648–649
18.	G. V. Fedorov, “Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants”, Math. Notes, 114:6 (2023), 1203–1219
19.	V. P. Platonov, V. S. Zhgoon, G.V. Fedorov, “On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields”, Dokl. Math., 108:2 (2023), 382–386
20.	G. V. Fedorov, “On the Number of Divisors of Binomial Coefficients”, Math. Notes, 93:2 (2013), 308–316
21.	G. V. Fedorov, “On families of hyperelliptic curves over the field of rational numbers, whose Jacobian contains torsion points of given orders”, Chebyshevskii Sb., 21:1 (2020), 322–340
22.	G. V. Fedorov, “On a number of prime divisors of an integer with bounded multipleness”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 129–133
23.	G.V. Fedorov, “On the sequences of polynomials $f$ with a periodic continued fraction expansion $\sqrt{f}$”, Moscow University Mathematics Bulletin, 79:2 (2024), 98–102
24.	G.V. Fedorov, “On estimates for the period length of functional continued fractions over algebraic number fields”, Chebyshevskii Sb., 24:3 (2023), 162–189
25.	G. V. Fedorov, V. S. Zhgoon, M. M. Petrunin, Yu. N. Shteinikov, “On the Parametrization of Hyperelliptic Fields with $S$-Units of Degrees 7 and 9”, Math. Notes, 112:3 (2022), 451–457
26.	V. P. Platonov, G. V. Fedorov, “Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields”, Doklady Mathematics, 2022, 262–269
27.	G. V. Fedorov, “On fundamental $S$-units and continued fractions constructed in hyperelliptic fields using two linear valuations”, Dokl. Math., 103:3 (2021), 151–156
28.	V. P. Platonov, G. V. Fedorov, “On $S$-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields”, Dokl. Math., 99:3 (2019), 277–281
29.	G. V. Fedorov, “On unordered multiplicative partitions”, Doklady Mathematics, 98 (2018), 607–611 (to appear)
30.	G. V. Fedorov, “Number of divisors of the central binomial coefficient”, Moscow University Mathematics Bulletin, 68:4 (2013), 194–197
31.	G. V. Fedorov, “The upper limit value of the divisor function with growing dimension”, Doklady Mathematics, 88:2 (2013), 529–531
32.	G. V. Fedorov, “The greatest order of the divisor function with increasing dimension”, Matematica Montisnigri, 28 (2013), 17–24 https://www.montis.pmf.ac.me/vol28/28_2.pdf
33.	G. V. Fedorov, “Estimation of the sum of values of the divisor function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2, 50–53
34.	V. P. Platonov, G.V. Fedorov, “Asymptotic behavior of period lengths of continued fractions in a hyperelliptic field”, Izv. RAN. Ser. Mat. (to appear)
35.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Finiteness theorems for generalized Jacobians with nontrivial torsion”, Sb. Math., 216:4 (2025), 560–577
36.	V. P. Platonov, G.V. Fedorov, “Continued fractions in hyperelliptic fields with an arbitrarily long period”, Dokl. Math., 109:2 (2024), 147–151
37.	G.V. Fedorov, “On hyperelliptic curves of odd degree and genus $g$ with six torsion points of order $2g+1$”, Dokl. Math., 110:4 (2024), 301–307
38.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71

Presentations in Math-Net.Ru

1.	On the unboundedness of period lengths of functional continued fractions in a hyperelliptic field G. V. Fedorov International conference “Number-theoretic aspects of linear algebraic groups and algebraic varieties: results and prospects” dedicated to 85-th anniversary of academician V.P. Platonov June 17, 2025 16:00
2.	Гиперэллиптические кривые и криптографические приложения G.V. Fedorov Modern geometry methods May 14, 2025 18:30
3.	The theory of functional continued fractions and the torsion problem in the Jacobians of hyperelliptic curves G. V. Fedorov Seminar on Complex Analysis (Gonchar Seminar) April 12, 2021 17:00
4.	Functional continued fractions with large period lengths G.V. Fedorov International conference on Analytic Number Theory dedicated to 75th anniversary of G. I. Arkhipov and S. M. Voronin December 14, 2020 13:15
5.	Алгебро-геометрический подход к проблеме кручения в якобианах гиперэллиптических кривых G. V. Fedorov Research Seminar of the Department of Higher Algebra MSU September 30, 2019
6.	On unordered multiplicative partitions G. V. Fedorov XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich May 30, 2018 17:00
7.	$S$-единицы и непрерывные дроби в гиперэллиптических полях G. V. Fedorov Knots and Representation Theory December 19, 2017 18:30
8.	On the periodicity of continued fractions in elliptic fields G. V. Fedorov А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications May 27, 2017 11:35
9.	The Riemann-Roch theorem and periodicity of continued fractions in hyperelliptic fields G. V. Fedorov Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 30, 2016 11:05
10.	On the distribution of random integer-valued quantities obeying to some arithmetical inequality G. V. Fedorov Conference in memory of A. A. Karatsuba on number theory and applications, 2015 January 31, 2015 15:30
11.	On the distribution of the values of the divisor function G. V. Fedorov Conference in memory of A. A. Karatsuba on number theory and applications January 31, 2014 15:00

Organisations