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German, Oleg Nikolaevich
Professor
Doctor of physico-mathematical sciences (2005)
E-mail:

https://www.mathnet.ru/eng/person18225
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/714798

Publications in Math-Net.Ru Citations
2023
1. O. N. German, “An analogue of Mahler's transference theorem for multiplicative Diophantine approximation”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  18–22  mathnet  elib; Dokl. Math., 107:2 (2023), 101–104
2. O. N. German, N. G. Moshchevitin, “On the transference principle and Nesterenko's linear independence criterion”, Izv. RAN. Ser. Mat., 87:2 (2023),  56–68  mathnet  mathscinet  zmath; Izv. Math., 87:2 (2023), 252–264  isi  scopus 1
3. O. N. German, “Geometry of Diophantine exponents”, Uspekhi Mat. Nauk, 78:2(470) (2023),  71–148  mathnet  mathscinet  zmath; Russian Math. Surveys, 78:2 (2023), 273–347  isi  scopus 2
4. E. R. Bigushev, O. N. German, “Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients”, Mat. Sb., 214:3 (2023),  71–84  mathnet  mathscinet  zmath; Sb. Math., 214:3 (2023), 349–362  isi  scopus 1
2021
5. O. N. German, I. A. Tlyustangelov, “Symmetries of a two-dimensional continued fraction”, Izv. RAN. Ser. Mat., 85:4 (2021),  53–68  mathnet  zmath  elib; Izv. Math., 85:4 (2021), 666–680  isi  scopus 4
2020
6. O. N. German, “Linear forms of a given Diophantine type and lattice exponents”, Izv. RAN. Ser. Mat., 84:1 (2020),  5–26  mathnet  zmath  elib; Izv. Math., 84:1 (2020), 3–22  isi  scopus 3
2016
7. O. N. German, “Diophantine exponents of lattices”, Sovrem. Probl. Mat., 23 (2016),  35–42  mathnet  elib; Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 29–35  isi  scopus 6
2015
8. O. N. German, K. G. Evdokimov, “A strengthening of Mahler's transference theorem”, Izv. RAN. Ser. Mat., 79:1 (2015),  63–76  mathnet  mathscinet  zmath  elib; Izv. Math., 79:1 (2015), 60–73  isi  scopus 6
2013
9. O. N. German, “Badly approximable matrices and Diophantine exponents”, Chebyshevskii Sb., 14:4 (2013),  38–79  mathnet; Doklady Mathematics (Supplementary issues), 106:2 (2022), 201–220 1
2011
10. Oleg N. German, “Transference inequalities for multiplicative Diophantine exponents”, Trudy Mat. Inst. Steklova, 275 (2011),  227–239  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 275 (2011), 216–228  isi  elib  scopus 9
2010
11. O. N. German, E. L. Lakshtanov, “Application of Spectral Theory to Constructing a Puzzle on the Basis of the Minesweeper Computer Game”, Mat. Zametki, 88:6 (2010),  935–937  mathnet  mathscinet; Math. Notes, 88:6 (2010), 888–890  isi  scopus
12. O. N. German, “Proof of the Faugère Criterion for the F5 Algorithm”, Mat. Zametki, 88:4 (2010),  502–510  mathnet  mathscinet; Math. Notes, 88:4 (2010), 479–486  isi  scopus 3
2008
13. O. N. German, E. L. Lakshtanov, “On a multidimensional generalization of Lagrange's theorem on continued fractions”, Izv. RAN. Ser. Mat., 72:1 (2008),  51–66  mathnet  mathscinet  zmath  elib; Izv. Math., 72:1 (2008), 47–61  isi  elib  scopus 15
2006
14. O. N. German, “Klein polyhedra and relative minima of lattices”, Mat. Zametki, 79:4 (2006),  546–552  mathnet  mathscinet  zmath  elib; Math. Notes, 79:4 (2006), 505–510  isi  scopus 6
2005
15. O. N. German, “Sails and norm minima of lattices”, Mat. Sb., 196:3 (2005),  31–60  mathnet  mathscinet  zmath  elib; Sb. Math., 196:3 (2005), 337–365  isi  elib  scopus 15
2004
16. O. N. German, “Asymptotic Directions for Best Approximations of $n$-Dimensional Linear Forms”, Mat. Zametki, 75:1 (2004),  55–70  mathnet  mathscinet  zmath  elib; Math. Notes, 75:1 (2004), 51–65  isi 2
2002
17. O. N. German, “Sails and Hilbert Bases”, Trudy Mat. Inst. Steklova, 239 (2002),  98–105  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 239 (2002), 88–95 8
2024
18. Yu. V. Nesterenko, V. A. Bykovskii, V. N. Chubarikov, V. G. Chirskii, O. N. German, N. M. Dobrovol'skii, “Alexander Ivanovich Galochkin (on the 80-th anniversary of his birth)”, Chebyshevskii Sb., 25:2 (2024),  20–28  mathnet

Presentations in Math-Net.Ru
1. О геометрии диофантовых приближений
Олег Герман
Mathematical seminar Faculty of Computer Science HSE
October 11, 2024 18:10   
2. Geometric aspects of Diophantine approximation
O. N. German
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 20, 2023 13:00   
3. Аналог теоремы переноса Малера для мультипликативных диофантовых приближений
O. N. German

November 8, 2022 17:45   
4. Transference principle in Diophantine approximation
O. N. German
Beijing–Moscow Mathematics Colloquium
March 26, 2021 11:00
5. Parametric approach to Khintchine's transference theorem and its generalizations
O. N. German

April 15, 2020 17:50   
6. Диофантовы экспоненты и принцип переноса
O. N. German
Knots and Representation Theory
December 11, 2018 18:35
7. Диофантовы экспоненты решёток и линейные формы заданного диофантового типа
O. N. German
Contemporary Problems in Number Theory
December 6, 2018 12:45
8. On certain aspects of Diophantine approximation
O. N. German
Iskovskikh Seminar
March 31, 2016 18:00
9. Cyclic palindromes and periodic continued fractions
O. N. German
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 30, 2016 12:30
10. О палиндромичности периода цепной дроби
O. N. German
Contemporary Problems in Number Theory
December 3, 2015 12:45
11. Некоторые вопросы мультипликативной теории чисел
O. N. German
MIPT Interdepartmental Seminar on Discrete Mathematics
February 26, 2014 18:30
12. О диофантовых экспонентах и принципе переноса
O. N. German
Contemporary Problems in Number Theory
September 27, 2012 12:45
13. Klein polihedra and Oppenheim conjecture for linear forms
O. N. German
Meetings of the St. Petersburg Mathematical Society
June 19, 2012 18:00
14. О геометрии многомерных диофантовых приближений
O. N. German
Moscow Seminar on the Number Theory
February 17, 2012 18:30
15. On intermediate Diophantine exponents
O. N. German
Moscow Seminar on the Number Theory
April 29, 2011 18:30
16. Многомерные обобщения некоторых свойств цепных дробей
O. N. German
Meetings of the Moscow Mathematical Society
November 28, 2006

Organisations
 
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