Persons: Frolenkov, Dmitry Andreevich

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Frolenkov, Dmitry Andreevich

Statistics
in MathSciNet:	32 (32)
in zbMATH:	17 (17)
in Web of Science:	27 (27)
in Scopus:	27 (27)

Doctor of physico-mathematical sciences

E-mail:

Keywords:

automorphic L-functions, convolution formulae.

Subject:

Analytic number theory. Automorphic functions. Kloosterman sums. $L$-functions. Continued fractions.

https://www.mathnet.ru/eng/person56684

https://scholar.google.com/citations?user=wdFR2zQAAAAJ&hl=en

https://zbmath.org/authors/ai:frolenkov.dmitrii-a|frolenkov.dmitriy-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/979937

https://elibrary.ru/author_items.asp?spin=7791-1256

https://orcid.org/0000-0001-6094-7923

https://www.webofscience.com/wos/author/record/L-5552-2015

https://www.scopus.com/authid/detail.url?authorId=55180392900

List of publications:

scientific publications

by years

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by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	Olga Balkanova, John Brian Conrey, Dmitry Frolenkov, “An approximation formula for the shifted cubic moment of automorphic L-functions in the weight aspect”, Can. J. Math., 77:3 (2025), 715–738
2.	D. Frolenkov, Izv. RAN. Ser. Mat.
3.	Dmitry Frolenkov, “Asymptotics of a Gauss hypergeometric function related to moments of symmetric square $L$-functions II”, Integral Transforms Spec. Funct., 2025, 1–12 (Published online) , arXiv: 2408.05619
4.	Olga Balkanova, Dmitry Frolenkov, “A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight”, Monatsh. Math., 203 (2024), 733–764
5.	O. Balkanova, D. Frolenkov, “An explicit formula for the second moment of Maass form symmetric square $L$-functions”, Publ. Mat., 67:2 (2023), 611–660
6.	Olga Balkanova, Dmitry Frolenkov, “The second moment of symmetric square $L$-functions over Gaussian integers”, Proc. R. Soc. Edinb., Sect. A, Math., 152:1 (2022), 54–80 , arXiv: 2008.13399	2 ^[x]
7.	Olga Balkanova, Dmitry Frolenkov, Morten S. Risager, “Prime geodesics and averages of the Zagier $L$-series”, Math. Proc. Camb. Philos. Soc., 172:3 (2022), 705-728 , arXiv: 1912.05277	4 ^[x]
8.	Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of Maass form symmetric square $L$-functions”, J. Math. Anal. Appl., 500:2 (2021), 125148 , 23 pp.	1 ^[x]
9.	Olga Balkanova, Dmitry Frolenkov, “Moments of $L$-functions and the Liouville–Green method”, J. Eur. Math. Soc. (JEMS), 23:4 (2021), 1333–1380 , arXiv: 1610.03465	8 ^[x]
10.	O. Balkanova, G. Bhowmik, D. Frolenkov, N. Raulf, “Mixed moment of $GL(2)$ and $GL(3)$ $L$-functions”, Proc. London Math. Soc. (3), 121:2 (2020), 177–219 , arXiv: 1811.03553	2 ^[x]
11.	Dmitry Frolenkov, “The cubic moment of automorphic $L$-functions in the weight aspect”, J. Number Theory, 207:2 (2020), 247–281	11 ^[x]
12.	D. A. Frolenkov, “Nondiagonal terms in the second moment of automorphic $L$-functions”, Sb. Math., 211:8 (2020), 1171–1189
13.	Olga Balkanova, Dmitry Frolenkov, “Prime geodesic theorem for the Picard manifold”, Adv. Math., 375 (2020), 107377 , 42 pp., arXiv: 1804.00275	5 ^[x]
14.	Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272 , arXiv: 1803.04201	6 ^[x]
15.	Olga Balkanova, Dimitrios Chatzakos, Giacomo Cherubini, Dmitry Frolenkov, Niko Laaksonen, “Prime geodesic theorem in the 3-dimensional hyperbolic space”, Trans. Amer. Math. Soc., 372:8 (2019), 5355–5374 , arXiv: 1712.00880	10 ^[x]
16.	Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf, “A mean value result for a product of $GL(2)$ and $GL(3)$ $L$-functions”, Mathematika, 65:3 (2019), 743–762 , arXiv: 1710.01388	3 ^[x]
17.	Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019), 649–674 , arXiv: 1803.04206	8 ^[x]
18.	Olga Balkanova, Dmitry Frolenkov, “Convolution formula for the sums of generalized Dirichlet L-functions”, Rev. Mat Iberoam, 35:7 (2019), 1973–1995 , arXiv: 1709.01365	4 ^[x]
19.	Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018), 17–41 , arXiv: 1605.02434	2 ^[x]
20.	Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59 , arXiv: 1610.06331	14 ^[x]
21.	Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017), 293–303	1 ^[x]
22.	V. A. Bykovskii, D. A. Frolenkov, “Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line”, Izv. Math., 81:2 (2017), 239–268
23.	Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Proc. Steklov Inst. Math., 299 (2017), 44–49
24.	V. A. Bykovskii, D. A. Frolenkov, “The average length of finite continued fractions with fixed denominator”, Sb. Math., 208:5 (2017), 644–683
25.	Olga Balkanova, Dmitry Frolenkov, “The first moment of cusp form $L$-functions in weight aspect on average”, Acta Arith., 181:3 (2017), 197–208 , arXiv: 1703.00742	2 ^[x]
26.	Olga G. Balkanova, Dmitry A. Frolenkov, “A uniform asymptotic formula for the second moment of primitive $L$-functions on the critical line”, Proc. Steklov Inst. Math., 294 (2016), 13–46
27.	V. A. Bykovskii, D. A. Frolenkov, “Some integral representations of hypergeometric function”, FEMJ, 15:1 (2015), 38–40
28.	D. A. Frolenkov, “On the uniform bounds on hypergeometric function”, Dal'nevost. Mat. Zh., 15:2 (2015), 289–298
29.	V. A. Bykovskii, D. A. Frolenkov, “On the second moment of L-series of holomorphic cusp forms on the critical line”, Dokl. Math., 92:1 (2015), 417–420
30.	V. A. Bykovskii, D. A. Frolenkov, “Asymptotic formula for the convolution of a generalized divisor function”, Dokl. Math., 92:3 (2015), 670–673
31.	I. D. Kan, D. A. Frolenkov, “A strengthening of a theorem of Bourgain and Kontorovich”, Izv. Math., 78:2 (2014), 293–353
32.	D. A. Frolenkov, I. D. Kan, “A strengthening of a theorem of Bourgain–Kontorovich II”, Moscow J. Combin. Number Theory, 4:1 (2014), 78–117
33.	D. A. Frolenkov, K. Soundararajan, “A generalization of the Pólya–Vinogradov inequality”, Ramanujan J., 31:3 (2013), 271–279	17 ^[x]
34.	D. A. Frolenkov, “The mean value of Frobenius numbers with three arguments”, Izv. Math., 76:4 (2012), 760–819
35.	D. A. Frolenkov, “Asymptotic behaviour of the first moment of the number of steps in the by-excess and by-deficiency Euclidean algorithms”, Sb. Math., 203:2 (2012), 288–305
36.	D. A. Frolenkov, “A numerically explicit version of the Pólya-Vinogradov inequality”, Mosc. J. Comb. Number Theory, 1:3 (2011), 25–41

Presentations in Math-Net.Ru

1.	Об одной обобщенной функции числа делителей D. Frolenkov Number theory and Geometry. Alexey Zykin Memorial Conference June 11, 2025 15:30
2.	О целых точках в треугольной области под гиперболой Дмитрий Фроленков Mathematical seminar Faculty of Computer Science HSE May 16, 2025 18:10
3.	Формула суммирования Вороного для L-рядов Загье O. G. Balkanova, D. Frolenkov Annual Session of Steklov Mathematical Institute (Best results 2024) November 20, 2024 13:50
4.	О моментах $L$-функций модулярных форм большого веса D. Frolenkov Contemporary Problems in Number Theory October 12, 2023 12:45
5.	О моментах $L$-функций модулярных параболических форм большого веса D. Frolenkov Conference on Complex Analysis and its Applications September 12, 2023 15:45
6.	The cubic moment of automorphic $L$-functions in the weight aspect D. Frolenkov International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin November 1, 2022 15:00
7.	Моменты L-функций и метод Лиувилля–Грина O. G. Balkanova, D. Frolenkov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2021 November 24, 2021 16:40
8.	Аддитивная проблема делителей и ее приложения D. Frolenkov August 12, 2021 11:00
9.	Additive divisor problem and Applications D. Frolenkov Beijing–Moscow Mathematics Colloquium October 23, 2020 14:15
10.	Об одной сумме сумм Клоостремана и ее приложении D. Frolenkov Contemporary Problems in Number Theory October 11, 2018 12:45
11.	О средней длине конечных цепных дробей с фиксированным знаменателем D. Frolenkov Steklov Mathematical Institute Seminar May 17, 2018 16:00
12.	The average length of finite continued fractions with fixed denominator D. Frolenkov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017 November 29, 2017 10:45
13.	О спектральной тригонометрической сумме D. Frolenkov Contemporary Problems in Number Theory November 16, 2017 12:45
14.	Non-vanishing of automorphic $L$-functions of prime power level (joint papers with O.G. Balkanova) D. Frolenkov А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications May 22, 2017 11:40
15.	A strengthening of Porter's result D. A. Frolenkov Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 28, 2016 15:30
16.	Улучшение теоремы Портера о средней длине цепных дробей с фиксированным знаменателем D. A. Frolenkov Contemporary Problems in Number Theory September 24, 2015 12:45
17.	Zaremba conjecture D. A. Frolenkov Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences February 28, 2013 16:00
18.	О новых результатах в гипотезе Зарембы D. A. Frolenkov Shafarevich Seminar February 19, 2013 15:00
19.	Гипотеза Зарембы D. A. Frolenkov Contemporary Problems in Number Theory February 14, 2013 12:45
20.	О современных результатах, связанных с неравенством Пойа–Виноградова D. A. Frolenkov Moscow Seminar on the Number Theory October 14, 2011 18:30

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Articles