Edit Profile (opens in new tab) Frolenkov, Dmitriĭ Andreevich Compute Distance To: Compute Author ID: frolenkov.dmitrii-a Published as: Frolenkov, Dmitry; Frolenkov, D. A.; Frolenkov, Dmitry A.; Frolenkov, Dmitrii A.; Frolenkov, Dmitriy A.; Frolenkov, D. more...less Homepage: https://www.hse.ru/en/staff/dfrolenkov External Links: ORCID · Math-Net.Ru Documents Indexed: 31 Publications since 2011 Reviewing Activity: 25 Reviews Co-Authors: 10 Co-Authors with 25 Joint Publications 157 Co-Co-Authors all top 5 Co-Authors 6 single-authored 17 Balkanova, Ol’ga Germanovna 5 Bykovskiĭ, Viktor Alekseevich 2 Bhowmik, Gautami 2 Kan, Igor D. 2 Raulf, Nicole 1 Chatzakos, Dimitrios 1 Cherubini, Giacomo 1 Laaksonen, Niko 1 Risager, Morten S. 1 Soundararajan, Kannan all top 5 Serials 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 2 Journal of Number Theory 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 2 Moscow Journal of Combinatorics and Number Theory 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Advances in Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Ramanujan Journal 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Algebra & Number Theory Fields 29 Number theory (11-XX) 6 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 117 times in 69 Documents Cited by ▼ Year ▼ A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083Frolenkov, D. A.; Soundararajan, K. 18 2013 A strengthening of a theorem of Bourgain-Kontorovich. II. Zbl 1371.11113Frolenkov, Dmitrii A.; Kan, Igor D. 14 2014 A strengthening of a theorem of Bourgain and Kontorovich. Zbl 1350.11006Kan, I. D.; Frolenkov, D. A. 12 2014 The mean value of symmetric square \(L\)-functions. Zbl 1445.11039Balkanova, Olga; Frolenkov, Dmitry 9 2018 Prime geodesic theorem in the 3-dimensional hyperbolic space. Zbl 1479.11085Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko 7 2019 Bounds for a spectral exponential sum. Zbl 1456.11092Balkanova, Olga; Frolenkov, Dmitry 6 2019 Prime geodesic theorem for the Picard manifold. Zbl 1475.11102Balkanova, Olga; Frolenkov, Dmitry 6 2020 A numerically explicit version of the Pólya-Vinogradov inequality. Zbl 1302.11054Frolenkov, Dmitriy A. 5 2011 A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line. Zbl 1397.11129Balkanova, Olga G.; Frolenkov, Dmitry A. 5 2016 Sums of Kloosterman sums in the prime geodesic theorem. Zbl 1456.11144Balkanova, Olga; Frolenkov, Dmitry 5 2018 Non-vanishing of automorphic \(L\)-functions of prime power level. Zbl 1450.11046Balkanova, Olga; Frolenkov, Dmitry 4 2018 On the second moment of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1327.30005Bykovskii, V. A.; Frolenkov, D. A. 4 2015 Convolution formula for the sums of generalized Dirichlet \(L\)-functions. Zbl 1472.11149Balkanova, Olga; Frolenkov, Dmitry 3 2019 The first moment of cusp form \(L\)-functions in weight aspect on average. Zbl 1422.11082Balkanova, Olga; Frolenkov, Dmitry 3 2017 The mean value of Frobenius numbers with three arguments. Zbl 1307.11036Frolenkov, D. A. 2 2012 On the binary additive divisor problem. Zbl 1404.11117Balkanova, Olga G.; Frolenkov, Dmitry A. 2 2017 Asymptotic formulae for the second moments of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1391.11096Bykovskii, Victor A.; Frolenkov, Dmitry A. 2 2017 New error term for the fourth moment of automorphic \(L\)-functions. Zbl 1420.11087Balkanova, Olga; Frolenkov, Dmitry 2 2017 On the uniform bounds on hypergeometric function. Zbl 1338.33014Frolenkov, D. A. 2 2015 Moments of \(L\)-functions and the Liouville-Green method. Zbl 1486.11071Balkanova, Olga; Frolenkov, Dmitry 2 2021 A mean value result for a product of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\) \(L\)-functions. Zbl 1443.11075Balkanova, Olga; Bhowmik, Gautami; Frolenkov, Dmitry; Raulf, Nicole 1 2019 Prime geodesics and averages of the Zagier \(L\)-series. Zbl 1502.11095Balkanova, Olga; Frolenkov, Dmitry; Risager, Morten S. 1 2022 Mixed moment of \(\mathrm{GL} ( 2 )\) and \(\mathrm{GL} ( 3 )\) \(L\)-functions. Zbl 1478.11073Balkanova, O.; Bhowmik, G.; Frolenkov, D.; Raulf, N. 1 2020 The cubic moment of automorphic \(L\)-functions in the weight aspect. Zbl 1483.11100Frolenkov, Dmitry 1 2020 Prime geodesics and averages of the Zagier \(L\)-series. Zbl 1502.11095Balkanova, Olga; Frolenkov, Dmitry; Risager, Morten S. 1 2022 Moments of \(L\)-functions and the Liouville-Green method. Zbl 1486.11071Balkanova, Olga; Frolenkov, Dmitry 2 2021 Prime geodesic theorem for the Picard manifold. Zbl 1475.11102Balkanova, Olga; Frolenkov, Dmitry 6 2020 Mixed moment of \(\mathrm{GL} ( 2 )\) and \(\mathrm{GL} ( 3 )\) \(L\)-functions. Zbl 1478.11073Balkanova, O.; Bhowmik, G.; Frolenkov, D.; Raulf, N. 1 2020 The cubic moment of automorphic \(L\)-functions in the weight aspect. Zbl 1483.11100Frolenkov, Dmitry 1 2020 Prime geodesic theorem in the 3-dimensional hyperbolic space. Zbl 1479.11085Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko 7 2019 Bounds for a spectral exponential sum. Zbl 1456.11092Balkanova, Olga; Frolenkov, Dmitry 6 2019 Convolution formula for the sums of generalized Dirichlet \(L\)-functions. Zbl 1472.11149Balkanova, Olga; Frolenkov, Dmitry 3 2019 A mean value result for a product of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\) \(L\)-functions. Zbl 1443.11075Balkanova, Olga; Bhowmik, Gautami; Frolenkov, Dmitry; Raulf, Nicole 1 2019 The mean value of symmetric square \(L\)-functions. Zbl 1445.11039Balkanova, Olga; Frolenkov, Dmitry 9 2018 Sums of Kloosterman sums in the prime geodesic theorem. Zbl 1456.11144Balkanova, Olga; Frolenkov, Dmitry 5 2018 Non-vanishing of automorphic \(L\)-functions of prime power level. Zbl 1450.11046Balkanova, Olga; Frolenkov, Dmitry 4 2018 The first moment of cusp form \(L\)-functions in weight aspect on average. Zbl 1422.11082Balkanova, Olga; Frolenkov, Dmitry 3 2017 On the binary additive divisor problem. Zbl 1404.11117Balkanova, Olga G.; Frolenkov, Dmitry A. 2 2017 Asymptotic formulae for the second moments of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1391.11096Bykovskii, Victor A.; Frolenkov, Dmitry A. 2 2017 New error term for the fourth moment of automorphic \(L\)-functions. Zbl 1420.11087Balkanova, Olga; Frolenkov, Dmitry 2 2017 A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line. Zbl 1397.11129Balkanova, Olga G.; Frolenkov, Dmitry A. 5 2016 On the second moment of \(L\)-series of holomorphic cusp forms on the critical line. Zbl 1327.30005Bykovskii, V. A.; Frolenkov, D. A. 4 2015 On the uniform bounds on hypergeometric function. Zbl 1338.33014Frolenkov, D. A. 2 2015 A strengthening of a theorem of Bourgain-Kontorovich. II. Zbl 1371.11113Frolenkov, Dmitrii A.; Kan, Igor D. 14 2014 A strengthening of a theorem of Bourgain and Kontorovich. Zbl 1350.11006Kan, I. D.; Frolenkov, D. A. 12 2014 A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083Frolenkov, D. A.; Soundararajan, K. 18 2013 The mean value of Frobenius numbers with three arguments. Zbl 1307.11036Frolenkov, D. A. 2 2012 A numerically explicit version of the Pólya-Vinogradov inequality. Zbl 1302.11054Frolenkov, Dmitriy A. 5 2011 all cited Publications top 5 cited Publications all top 5 Cited by 73 Authors 13 Frolenkov, Dmitriĭ Andreevich 12 Balkanova, Ol’ga Germanovna 9 Kan, Igor D. 4 Bordignon, Matteo 3 Avdispahić, Muharem 3 Cherubini, Giacomo 3 Kerr, Bryce 3 McGown, Kevin J. 3 Trudgian, Tim 2 Chatzakos, Dimitrios 2 Kaneko, Ikuya 2 Kontorovich, Alex V. 2 Laaksonen, Niko 2 Liu, Shenhui 2 Odnorob, V. A. 2 Qi, Zhi 2 Soundararajan, Kannan 2 Wu, Han 1 Bettin, Sandro 1 Bhowmik, Gautami 1 Booker, Andrew R. 1 Bourgain, Jean 1 Bykovskiĭ, Viktor Alekseevich 1 Chamizo Lorente, Fernando 1 Choie, YoungJu 1 Cochrane, Todd 1 Fouvry, Etienne 1 Francis, Forrest J. 1 Gušić, Dženan 1 Huang, Bingrong 1 Kıral, Eren Mehmet 1 Kohnen, Winfried 1 Kowalski, Emmanuel 1 Lapkova, Kostadinka 1 Liu, Sheng-Chi 1 Magee, Michael 1 McNamara, Peter J. 1 Michel, Philippe Gabriel 1 Monina, M. D. 1 Morrill, Thomas 1 Moshchevitin, Nikolay G. 1 Murphy, Brendan 1 Nauryzbaev, N. Zh. 1 Ng, Ming-Ho 1 Oh, Hee 1 Pi, Qinghua 1 Pollack, Paul 1 Pollicott, Mark 1 Pomerance, Carl Bernard 1 Raju, Chandra Sekhar 1 Ramaré, Olivier 1 Raulf, Nicole 1 Risager, Morten S. 1 Rivat, Joël 1 Šabanac, Zenan 1 Schmidt, Wolfgang M. 1 Sedunova, Alisa 1 Serra, Oriol 1 Shi, Sanying 1 Shkredov, Il’ya Dmitrievich 1 Shomanova, A. A. 1 Shteĭnikov, Yuriĭ Nikolaevich 1 Södergren, Anders 1 Srivastav, Priyamvad 1 Temirgaliev, Nurlan Temirgalievich 1 Treviño, Enrique 1 Ustinov, Alekseĭ Vladimirovich 1 Vytnova, Polina 1 Williamson, Geordie 1 Winter, Dale 1 Young, Matthew P. 1 Zábrádi, Gergely 1 Zhang, Yichao all top 5 Cited in 39 Serials 7 Journal of Number Theory 4 Mathematical Notes 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 The Ramanujan Journal 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 Revista Matemática Iberoamericana 2 Sbornik: Mathematics 2 Journal of the European Mathematical Society (JEMS) 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Journal of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Russian Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Integers 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Chebyshevskiĭ Sbornik 1 Algebra & Number Theory 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Discrete Analysis 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 11 Fields 65 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) Citations by Year