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Frolenkov, Dmitriĭ Andreevich

Author ID: frolenkov.dmitrii-a Recent zbMATH articles by "Frolenkov, Dmitriĭ Andreevich"
Published as: Frolenkov, Dmitry; Frolenkov, D. A.; Frolenkov, Dmitry A.; Frolenkov, Dmitrii A.; Frolenkov, Dmitriy A.; Frolenkov, D.
Homepage: https://www.hse.ru/en/staff/dfrolenkov
External Links: ORCID · Math-Net.Ru
Documents Indexed: 39 Publications since 2011, including 6 Additional arXiv Preprints
Reviewing Activity: 25 Reviews
Co-Authors: 10 Co-Authors with 32 Joint Publications
244 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 165 times in 93 Documents Cited by Year
A strengthening of a theorem of Bourgain-Kontorovich. II. Zbl 1371.11113
Frolenkov, Dmitrii A.; Kan, Igor D.
21
2014
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
19
2013
A strengthening of a theorem of Bourgain and Kontorovich. Zbl 1350.11006
Kan, I. D.; Frolenkov, D. A.
16
2014
The mean value of symmetric square \(L\)-functions. Zbl 1445.11039
Balkanova, Olga; Frolenkov, Dmitry
15
2018
Sums of Kloosterman sums in the prime geodesic theorem. Zbl 1456.11144
Balkanova, Olga; Frolenkov, Dmitry
8
2018
A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line. Zbl 1397.11129
Balkanova, Olga G.; Frolenkov, Dmitry A.
7
2016
Prime geodesic theorem in the 3-dimensional hyperbolic space. Zbl 1479.11085
Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko
7
2019
Asymptotic formulae for the second moments of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1391.11096
Bykovskii, Victor A.; Frolenkov, Dmitry A.
6
2017
Prime geodesic theorem for the Picard manifold. Zbl 1475.11102
Balkanova, Olga; Frolenkov, Dmitry
6
2020
A numerically explicit version of the Pólya-Vinogradov inequality. Zbl 1302.11054
Frolenkov, Dmitriy A.
5
2011
Bounds for a spectral exponential sum. Zbl 1456.11092
Balkanova, Olga; Frolenkov, Dmitry
5
2019
Moments of \(L\)-functions and the Liouville-Green method. Zbl 1486.11071
Balkanova, Olga; Frolenkov, Dmitry
5
2021
The cubic moment of automorphic \(L\)-functions in the weight aspect. Zbl 1483.11100
Frolenkov, Dmitry
5
2020
On the second moment of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1327.30005
Bykovskii, V. A.; Frolenkov, D. A.
5
2015
Convolution formula for the sums of generalized Dirichlet \(L\)-functions. Zbl 1472.11149
Balkanova, Olga; Frolenkov, Dmitry
5
2019
The first moment of cusp form \(L\)-functions in weight aspect on average. Zbl 1422.11082
Balkanova, Olga; Frolenkov, Dmitry
4
2017
Non-vanishing of automorphic \(L\)-functions of prime power level. Zbl 1450.11046
Balkanova, Olga; Frolenkov, Dmitry
4
2018
On the uniform bounds on hypergeometric function. Zbl 1338.33014
Frolenkov, D. A.
3
2015
A mean value result for a product of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\) \(L\)-functions. Zbl 1443.11075
Balkanova, Olga; Bhowmik, Gautami; Frolenkov, Dmitry; Raulf, Nicole
3
2019
Prime geodesics and averages of the Zagier \(L\)-series. Zbl 1502.11095
Balkanova, Olga; Frolenkov, Dmitry; Risager, Morten S.
3
2022
On the binary additive divisor problem. Zbl 1404.11117
Balkanova, Olga G.; Frolenkov, Dmitry A.
3
2017
Mixed moment of \(\mathrm{GL} ( 2 )\) and \(\mathrm{GL} ( 3 )\) \(L\)-functions. Zbl 1478.11073
Balkanova, O.; Bhowmik, G.; Frolenkov, D.; Raulf, N.
2
2020
The mean value of Frobenius numbers with three arguments. Zbl 1307.11036
Frolenkov, D. A.
2
2012
New error term for the fourth moment of automorphic \(L\)-functions. Zbl 1420.11087
Balkanova, Olga; Frolenkov, Dmitry
2
2017
Asymptotic formula for the convolution of a generalized divisor function. Zbl 1393.11062
Bykovskii, V. A.; Frolenkov, D. A.
1
2015
Asymptotic behaviour of the first moment of the number of steps in the by-excess and by-deficiency Euclidean algorithms. Zbl 1292.11139
Frolenkov, D. A.
1
2012
The average length of finite continued fractions with fixed denominator. Zbl 1382.11048
Bykovskii, Victor A.; Frolenkov, Dmitry A.
1
2017
Non-vanishing of Maass form symmetric square \(L\)-functions. Zbl 1469.11131
Balkanova, Olga; Frolenkov, Dmitry
1
2021
Prime geodesics and averages of the Zagier \(L\)-series. Zbl 1502.11095
Balkanova, Olga; Frolenkov, Dmitry; Risager, Morten S.
3
2022
Moments of \(L\)-functions and the Liouville-Green method. Zbl 1486.11071
Balkanova, Olga; Frolenkov, Dmitry
5
2021
Non-vanishing of Maass form symmetric square \(L\)-functions. Zbl 1469.11131
Balkanova, Olga; Frolenkov, Dmitry
1
2021
Prime geodesic theorem for the Picard manifold. Zbl 1475.11102
Balkanova, Olga; Frolenkov, Dmitry
6
2020
The cubic moment of automorphic \(L\)-functions in the weight aspect. Zbl 1483.11100
Frolenkov, Dmitry
5
2020
Mixed moment of \(\mathrm{GL} ( 2 )\) and \(\mathrm{GL} ( 3 )\) \(L\)-functions. Zbl 1478.11073
Balkanova, O.; Bhowmik, G.; Frolenkov, D.; Raulf, N.
2
2020
Prime geodesic theorem in the 3-dimensional hyperbolic space. Zbl 1479.11085
Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko
7
2019
Bounds for a spectral exponential sum. Zbl 1456.11092
Balkanova, Olga; Frolenkov, Dmitry
5
2019
Convolution formula for the sums of generalized Dirichlet \(L\)-functions. Zbl 1472.11149
Balkanova, Olga; Frolenkov, Dmitry
5
2019
A mean value result for a product of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\) \(L\)-functions. Zbl 1443.11075
Balkanova, Olga; Bhowmik, Gautami; Frolenkov, Dmitry; Raulf, Nicole
3
2019
The mean value of symmetric square \(L\)-functions. Zbl 1445.11039
Balkanova, Olga; Frolenkov, Dmitry
15
2018
Sums of Kloosterman sums in the prime geodesic theorem. Zbl 1456.11144
Balkanova, Olga; Frolenkov, Dmitry
8
2018
Non-vanishing of automorphic \(L\)-functions of prime power level. Zbl 1450.11046
Balkanova, Olga; Frolenkov, Dmitry
4
2018
Asymptotic formulae for the second moments of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1391.11096
Bykovskii, Victor A.; Frolenkov, Dmitry A.
6
2017
The first moment of cusp form \(L\)-functions in weight aspect on average. Zbl 1422.11082
Balkanova, Olga; Frolenkov, Dmitry
4
2017
On the binary additive divisor problem. Zbl 1404.11117
Balkanova, Olga G.; Frolenkov, Dmitry A.
3
2017
New error term for the fourth moment of automorphic \(L\)-functions. Zbl 1420.11087
Balkanova, Olga; Frolenkov, Dmitry
2
2017
The average length of finite continued fractions with fixed denominator. Zbl 1382.11048
Bykovskii, Victor A.; Frolenkov, Dmitry A.
1
2017
A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line. Zbl 1397.11129
Balkanova, Olga G.; Frolenkov, Dmitry A.
7
2016
On the second moment of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1327.30005
Bykovskii, V. A.; Frolenkov, D. A.
5
2015
On the uniform bounds on hypergeometric function. Zbl 1338.33014
Frolenkov, D. A.
3
2015
Asymptotic formula for the convolution of a generalized divisor function. Zbl 1393.11062
Bykovskii, V. A.; Frolenkov, D. A.
1
2015
A strengthening of a theorem of Bourgain-Kontorovich. II. Zbl 1371.11113
Frolenkov, Dmitrii A.; Kan, Igor D.
21
2014
A strengthening of a theorem of Bourgain and Kontorovich. Zbl 1350.11006
Kan, I. D.; Frolenkov, D. A.
16
2014
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
19
2013
The mean value of Frobenius numbers with three arguments. Zbl 1307.11036
Frolenkov, D. A.
2
2012
Asymptotic behaviour of the first moment of the number of steps in the by-excess and by-deficiency Euclidean algorithms. Zbl 1292.11139
Frolenkov, D. A.
1
2012
A numerically explicit version of the Pólya-Vinogradov inequality. Zbl 1302.11054
Frolenkov, Dmitriy A.
5
2011
all top 5

Cited by 88 Authors

18 Frolenkov, Dmitriĭ Andreevich
17 Balkanova, Ol’ga Germanovna
12 Kan, Igor D.
4 Bordignon, Matteo
3 Avdispahić, Muharem
3 Cherubini, Giacomo
3 Kaneko, Ikuya
3 Kerr, Bryce
3 Kontorovich, Alex V.
3 McGown, Kevin J.
3 Shkredov, Il’ya Dmitrievich
3 Trudgian, Tim
3 Young, Matthew P.
2 Bhowmik, Gautami
2 Bykovskiĭ, Viktor Alekseevich
2 Chatzakos, Dimitrios
2 Fazzari, Alessandro
2 Hashimoto, Yasufumi
2 Laaksonen, Niko
2 Liu, Shenhui
2 Moshchevitin, Nikolaĭ Germanovich
2 Odnorob, V. A.
2 Qi, Zhi
2 Ramaré, Olivier
2 Raulf, Nicole
2 Soundararajan, Kannan
2 Wu, Han
1 Aistleitner, Christoph
1 Bettin, Sandro
1 Booker, Andrew R.
1 Borda, Bence
1 Bourgain, Jean
1 Chamizo Lorente, Fernando
1 Choie, YoungJu
1 Cochrane, Todd
1 Conrey, John Brian
1 Fouvry, Etienne
1 Francis, Forrest J.
1 Gun, Sanoli
1 Gušić, Dženan
1 Hauke, Manuel
1 Huang, Bingrong
1 Humphries, Peter J.
1 Johnston, Daniel R.
1 Khan, Rizwanur
1 Kıral, Eren Mehmet
1 Kohnen, Winfried
1 Kowalski, Emmanuel
1 Lapkova, Kostadinka
1 Liu, Sheng-Chi
1 Lunia, Rashi
1 Magee, Michael
1 McNamara, Peter J.
1 Michel, Philippe Gabriel
1 Minelli, Paolo
1 Monina, M. D.
1 Morrill, Thomas
1 Murphy, Brendan
1 Nauryzbaev, N. Zh.
1 Ng, Ming-Ho
1 Oh, Hee
1 Petrow, Ian N.
1 Pi, Qinghua
1 Pollack, Paul
1 Pollicott, Mark
1 Pomerance, Carl Bernard
1 Radziwiłł, Maksym
1 Rivat, Joël
1 Šabanac, Zenan
1 Schmidt, Wolfgang M.
1 Sedunova, Alisa
1 Serra, Oriol
1 Shi, Sanying
1 Shomanova, A. A.
1 Shteĭnikov, Yuriĭ Nikolaevich
1 Södergren, Anders
1 Solovyov, G. Kh.
1 Sourmelidis, Athanasios
1 Srivastav, Priyamvad
1 Technau, Marc
1 Temirgaliev, Nurlan Temirgalievich
1 Treviño, Enrique
1 Ustinov, Alekseĭ Vladimirovich
1 Vytnova, Polina
1 Williamson, Geordie
1 Winter, Dale
1 Zábrádi, Gergely
1 Zhang, Yichao
all top 5

Cited in 51 Serials

7 Journal of Number Theory
6 Mathematical Notes
5 Transactions of the American Mathematical Society
5 The Ramanujan Journal
4 Monatshefte für Mathematik
4 Proceedings of the American Mathematical Society
4 Sbornik: Mathematics
3 Mathematische Zeitschrift
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Proceedings of the Steklov Institute of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematika
2 Revista Matemática Iberoamericana
2 Izvestiya: Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 International Journal of Number Theory
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 Acta Arithmetica
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Russian Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Doklady Mathematics
1 Integers
1 Journal of the Institute of Mathematics of Jussieu
1 Hacettepe Journal of Mathematics and Statistics
1 Mediterranean Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 Algebra & Number Theory
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Research in Number Theory
1 Discrete Analysis
1 Transactions of the American Mathematical Society. Series B

Citations by Year