Dmitry Frolenkov
- Associate Professor:Faculty of Computer Science / Joint FCS Department with RAS Steklov Mathematical Institute
- Dmitry Frolenkov has been at HSE University since 2014.
Education and Degrees
- 2013
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Steklov Mathematical Institute of the Russian Academy of Sciences - 2011
Degree
Lomonosov Moscow State University
* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Courses (2023/2024)
- Calculus (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Linear Algebra (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Number Theory (Bachelor’s programme; Faculty of Computer Science; 1 year, 3 module)Rus
- Research Seminar "Number Theoretic and Algebraic Methods in Data Analysis" (Master’s programme; Faculty of Computer Science; 1 year, 3, 4 module)Eng
- Past Courses
Courses (2022/2023)
- Calculus (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Linear Algebra (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Number Theory (Bachelor’s programme; Faculty of Computer Science; 1 year, 3 module)Rus
- Research Seminar "Number Theoretic and Algebraic Methods in Data Analysis" (Master’s programme; Faculty of Computer Science; 1 year, 3, 4 module)Eng
Courses (2021/2022)
- Calculus (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Linear Algebra (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Research Seminar ''Intelligent Systems and Structural Analysis'' (Master’s programme; Faculty of Computer Science; 1 year, 1-4 module)Eng
Courses (2020/2021)
- Calculus (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Linear Algebra (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Research Seminar ''Intelligent Systems and Structural Analysis'' (Master’s programme; Faculty of Computer Science; 1 year, 1-4 module)Eng
Courses (2019/2020)
- Calculus (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Linear Algebra (Master’s programme; Institute for Cognitive Neuroscience; 1 year, 1, 2 module)Eng
- Research Seminar ''Intelligent Systems and Structural Analysis'' (Master’s programme; Faculty of Computer Science; 1 year, 1-4 module)Eng
Conferences
- 2014Moscow Workshop on Combinatorics and Number Theory (Москва). Presentation: On the Polya-Vinogradov inequality and its generalization
- 2012International conference Diophantine Analysis (Астрахань). Presentation: On Zaremba conjecture and Bourgain-Kontorovich's theorem.
- 201127 Journees arithmetiques (Вильнюс). Presentation: The mean value of Frobenius numberswith three arguments
- Diophantine approximations: state of the art and applications (Минск). Presentation: On a problem of Dobrowolski-Williams and the Polya-Vinogradov inequality
- Paul Turan Memorial Conference (Будапешт). Presentation: On a problem of Dobrowolski-Williams and the Polya-Vinogradov inequality
Publications21
- Article Frolenkov D. A numerically explicit version of the Polya-Vinogradov inequality // Moscow Journal of Combinatorics and Number Theory. 2011. Vol. 1. No. 3. P. 25-41.
- Article Фроленков Д. А. Асимптотическое поведение первого момента для числа шагов в алгоритме Евклида по избытку и недостатку // Математический сборник. 2012. Т. 203. № 2. С. 143-160.
- Article Фроленков Д. А. Среднее значение чисел Фробениуса с тремя аргументами // Известия РАН. Серия математическая. 2012. Т. 76. № 4. С. 125-184.
- Article Frolenkov D., Soundararajan K. A generalization of the Polya-Vinogradov inequality // The Ramanujan Journal. 2013. Vol. 31. No. 3. P. 271-279.
- Article Frolenkov D., Kan I. D. A strengthening of a theorem of Bourgain-Kontorovich II // Moscow Journal of Combinatorics and Number Theory. 2014. Vol. 4. No. 1. P. 78-117.
- Article Кан И. Д., Фроленков Д. А. Усиление теоремы Бургейна-Конторовича // Известия РАН. Серия математическая. 2014. Т. 78. № 2. С. 87-144.
- Article Фроленков Д. А., Быковский В. А. Асимптотическая формула для свертки обобщенной функции делителей // Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2015. Т. 465. № 2. С. 137-140. doi
- Article Фроленков Д. А., Быковский В. А. Некоторые интегральные представления для гипергеометрической функции // Дальневосточный математический журнал. 2015. Т. 15. № 1. С. 38-40.
- Article Фроленков Д. А., Быковский В. А. О втором моменте L-рядов голоморфных параболических форм на критической прямой // Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2015. Т. 463. № 2. С. 133-136. doi
- Article Фроленков Д. А. Равномерные асимптотические формулы для гипергеометрической функции // Дальневосточный математический журнал. 2015. Т. 15. № 2. С. 289-298.
- Article Frolenkov D., Balkanova O. The first moment of cusp form L-functions in weight aspect on average // Acta Arithmetica. 2017. Vol. 181. No. 3. P. 197-208. doi
- Article Balkanova O., Frolenkov D. The mean value of symmetric square L-functions // Algebra and Number Theory. 2018. Vol. 12. P. 35-59. doi
- Article Balkanova O., Bhowmik G., Frolenkov D., Raulf N. A mean value result for a product of GL(2) and GL(3) L-functions // Mathematika. 2019. Vol. 65. No. 3. P. 743-762. doi
- Article Balkanova O., Frolenkov D. Bounds for a spectral exponential sum // Journal of London Mathematical Society. 2019. Vol. 99. No. 2. P. 249-272. doi
- Article Balkanova O., Chatzakos D., Cherubini G., Frolenkov D., Laaksonen N. Prime Geodesic Theorem in the Three-dimensional Hyperbolic Space // Transactions of the American Mathematical Society. 2019. Vol. 372. No. 8. P. 5355-5374. doi
- Article Balkanova O., Frolenkov D. Sums of Kloosterman sums in the prime geodesic theorem // Quarterly Journal of Mathematics. 2019. Vol. 70. No. 2. P. 649-674. doi
- Article Balkanova O., Bhowmik G., Frolenkov D., Raulf N. Mixed moment of GL(2) and GL(3) L-functions // Proceedings of the London Mathematical Society. 2020. Vol. 121. No. 2. P. 177-219. doi
- Article Frolenkov D. The cubic moment of automorphic L-functions in the weight aspect // Journal of Number Theory. 2020. Vol. 207. No. 2. P. 247-281. doi
- Article Balkanova O., Frolenkov D. Moments of L-functions and the Liouville–Green method // Journal of the European Mathematical Society. 2021. Vol. 23. No. 4. P. 1333-1380. doi
- Article Balkanova O., Frolenkov D., Risager M. Prime geodesics and averages of the Zagier L-series // Mathematical Proceedings of the Cambridge Philosophical Society. 2022. Vol. 172. No. 3. P. 705-728. doi
- Article Balkanova O., Frolenkov D. An explicit formula for the second moment of Maass form symmetric square L-functions // Publicacions Matematiques. 2023. Vol. 67. No. 2. P. 611-660. doi