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Publications in Math-Net.Ru |
Citations |
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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   ; 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  ; Izv. Math., 87:2 (2023), 252–264   |
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| 3. |
O. N. German, “Geometry of Diophantine exponents”, Uspekhi Mat. Nauk, 78:2(470) (2023), 71–148 ; Russian Math. Surveys, 78:2 (2023), 273–347 |
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| 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 ; Sb. Math., 214:3 (2023), 349–362 |
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2021 |
| 5. |
O. N. German, I. A. Tlyustangelov, “Symmetries of a two-dimensional continued fraction”, Izv. RAN. Ser. Mat., 85:4 (2021), 53–68 ; Izv. Math., 85:4 (2021), 666–680 |
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2020 |
| 6. |
O. N. German, “Linear forms of a given Diophantine type and lattice exponents”, Izv. RAN. Ser. Mat., 84:1 (2020), 5–26 ; Izv. Math., 84:1 (2020), 3–22 |
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2016 |
| 7. |
O. N. German, “Diophantine exponents of lattices”, Sovrem. Probl. Mat., 23 (2016), 35–42 ; Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 29–35 |
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2015 |
| 8. |
O. N. German, K. G. Evdokimov, “A strengthening of Mahler's transference theorem”, Izv. RAN. Ser. Mat., 79:1 (2015), 63–76  ; Izv. Math., 79:1 (2015), 60–73 |
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2013 |
| 9. |
O. N. German, “Badly approximable matrices and Diophantine exponents”, Chebyshevskii Sb., 14:4 (2013), 38–79 ; Doklady Mathematics (Supplementary issues), 106:2 (2022), 201–220 |
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2011 |
| 10. |
Oleg N. German, “Transference inequalities for multiplicative Diophantine exponents”, Trudy Mat. Inst. Steklova, 275 (2011), 227–239 ; Proc. Steklov Inst. Math., 275 (2011), 216–228 |
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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 ; Math. Notes, 88:6 (2010), 888–890 |
| 12. |
O. N. German, “Proof of the Faugère Criterion for the F5 Algorithm”, Mat. Zametki, 88:4 (2010), 502–510 ; Math. Notes, 88:4 (2010), 479–486 |
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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 ; Izv. Math., 72:1 (2008), 47–61 |
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2006 |
| 14. |
O. N. German, “Klein polyhedra and relative minima of lattices”, Mat. Zametki, 79:4 (2006), 546–552 ; Math. Notes, 79:4 (2006), 505–510 |
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2005 |
| 15. |
O. N. German, “Sails and norm minima of lattices”, Mat. Sb., 196:3 (2005), 31–60 ; Sb. Math., 196:3 (2005), 337–365 |
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2004 |
| 16. |
O. N. German, “Asymptotic Directions for Best Approximations of $n$-Dimensional Linear Forms”, Mat. Zametki, 75:1 (2004), 55–70 ; Math. Notes, 75:1 (2004), 51–65 |
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2002 |
| 17. |
O. N. German, “Sails and Hilbert Bases”, Trudy Mat. Inst. Steklova, 239 (2002), 98–105 ; Proc. Steklov Inst. Math., 239 (2002), 88–95 |
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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 |
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| Presentations in Math-Net.Ru |
| 1. |
О геометрии диофантовых приближений
Олег Герман
Mathematical seminar Faculty of Computer Science HSE
October 11, 2024 18:10
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| 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
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| 3. |
Аналог теоремы переноса Малера для мультипликативных диофантовых приближений
O. N. German
November 8, 2022 17:45
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| 4. |
Transference principle in Diophantine approximation
O. N. German
Beijing–Moscow Mathematics Colloquium
March 26, 2021 11:00
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| 5. |
Parametric approach to Khintchine's transference theorem and its generalizations
O. N. German
April 15, 2020 17:50
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| 6. |
Диофантовы экспоненты и принцип переноса
O. N. German
Knots and Representation Theory
December 11, 2018 18:35
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| 7. |
Диофантовы экспоненты решёток и линейные формы заданного диофантового типа
O. N. German
Contemporary Problems in Number Theory
December 6, 2018 12:45
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| 8. |
On certain aspects of Diophantine approximation
O. N. German
Iskovskikh Seminar
March 31, 2016 18:00
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| 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
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| 10. |
О палиндромичности периода цепной дроби
O. N. German
Contemporary Problems in Number Theory
December 3, 2015 12:45
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| 11. |
Некоторые вопросы мультипликативной теории чисел
O. N. German
MIPT Interdepartmental Seminar on Discrete Mathematics
February 26, 2014 18:30
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| 12. |
О диофантовых экспонентах и принципе переноса
O. N. German
Contemporary Problems in Number Theory
September 27, 2012 12:45
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| 13. |
Klein polihedra and Oppenheim conjecture for linear forms
O. N. German
Meetings of the St. Petersburg Mathematical Society
June 19, 2012 18:00
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| 14. |
О геометрии многомерных диофантовых приближений
O. N. German
Moscow Seminar on the Number Theory
February 17, 2012 18:30
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| 15. |
On intermediate Diophantine exponents
O. N. German
Moscow Seminar on the Number Theory
April 29, 2011 18:30
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| 16. |
Многомерные обобщения некоторых свойств цепных дробей
O. N. German
Meetings of the Moscow Mathematical Society
November 28, 2006
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