Persons: Fedorov, Gleb Vladimirovich

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Fedorov, Gleb Vladimirovich

Total publications:	34 (33)
in MathSciNet:	12 (12)
in zbMATH:	10 (10)
in Web of Science:	12 (12)
in Scopus:	16 (16)
Cited articles:	22
Citations:	158
Presentations:	9

Number of views:
This page:	683
Abstract pages:	5348
Full texts:	1010
References:	562

Associate professor

Candidate of physico-mathematical sciences (2012)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

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:

511.6

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

List of publications on Google Scholar

List of publications on ZentralBlatt

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

Full list of publications:

scientific publications

by years

by types

by times cited

common list

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


2024
1.	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

2023
2.	G.V. Fedorov, “On estimates for the period length of functional continued fractions over algebraic number fields”, Chebyshevskii Sb., 24:3 (2023), 162–189
3.	G. V. Fedorov, “Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants”, Math. Notes, 114:6 (2023), 1203–1219
4.	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

2022
5.	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
6.	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
7.	V. P. Platonov, G. V. Fedorov, “Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields”, Doklady Mathematics, 2022, 262–269

2021
8.	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
9.	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
10.	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

2020
11.	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
12.	G. V. Fedorov, “On the period length of a functional continued fraction over a number field”, Dokl. Math., 102:3 (2020), 513–517
13.	G. V. Fedorov, “On $S$-units for valuations of the second degree in hyperelliptic fields”, Izv. Math., 84:2 (2020), 392–435
14.	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

2019
15.	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

2022
16.	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

2019
17.	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

2018
18.	G. V. Fedorov, “Periodic continued fractions and $S$-units with second degree valuations in hyperelliptic fields”, Chebyshevskii Sb., 19:3 (2018), 282–297
19.	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
20.	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
21.	V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559
22.	G. V. Fedorov, “On unordered multiplicative partitions”, Doklady Mathematics, 98 (2018), 607–611 (to appear)
23.	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

2017
24.	V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in elliptic fields”, Dokl. Math., 96:1 (2017), 332–335
25.	V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 95:3 (2017), 254–258

2016
26.	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

2015
27.	V. P. Platonov, G. V. Fedorov, “$S$-units and periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 92:3 (2015), 752–756

2013
28.	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
29.	G. V. Fedorov, “On the Number of Divisors of Binomial Coefficients”, Math. Notes, 93:2 (2013), 308–316
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

2012
33.	G. V. Fedorov, “On a theorem of A.I. Pavlov”, Doklady Mathematics, 86:2 (2012), 648–649

2010
34.	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

Presentations in Math-Net.Ru

1.	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
2.	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
3.	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
4.	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
5.	$S$-единицы и непрерывные дроби в гиперэллиптических полях G. V. Fedorov Knots and Representation Theory December 19, 2017 18:30
6.	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
7.	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
8.	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
9.	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

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