Persons: Frolenkov, Dmitry Andreevich

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Frolenkov, Dmitry Andreevich

Total publications:	27 (27)
in MathSciNet:	24 (24)
in zbMATH:	14 (14)
in Web of Science:	20 (20)
in Scopus:	20 (20)
Cited articles:	18
Citations in Math-Net.Ru:	23
Citations in MathSciNet:	44
Citations in Web of Science:	45
Citations in Scopus:	44
Presentations:	11

Number of views:
This page:	3700
Abstract pages:	3237
Full texts:	478
References:	312

Candidate of physico-mathematical sciences

E-mail:

Keywords:

automorphic L-functions, convolution formulae.

Subject:

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

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

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

http://zbmath.org/authors/?q=ai:frolenkov.dmitrii-a|frolenkov.dmitriy-a

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

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

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

http://www.researcherid.com/rid/L-5552-2015

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

Full list of publications:

scientific publications

by years

by types

by times cited in WoS

by times cited in Scopus

common list


1.	Olga Balkanova, Dmitry Frolenkov, “Moments of L-functions and Liouville-Green method”, J. Eur. Math. Soc. (JEMS) (to appear) , arXiv: 1610.03465

2020
2.	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 ;
3.	Dmitry Frolenkov, “The cubic moment of automorphic $L$-functions in the weight aspect”, J. Number Theory, 207:2 (2020), 247–281 ;
4.	D. Frolenkov, “Non-diagonal terms in the second moment of automorphic $L$-functions”, Mat. Sb.

2019
5.	Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272 , arXiv: 1803.04201 (cited: 5) (cited: 5)
6.	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 (cited: 2) (cited: 3)
7.	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
8.	Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019), 649–674 , arXiv: 1803.04206 (cited: 2) (cited: 2)
9.	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

2018
10.	Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018), 17–41 , arXiv: 1605.02434 (cited: 1)
11.	Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59 , arXiv: 1610.06331 (cited: 3) (cited: 4)

2017
12.	Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017), 293–303 (cited: 1) (cited: 1)
13.	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 (cited: 4) (cited: 2)
14.	Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Proc. Steklov Inst. Math., 299 (2017), 44–49
15.	V. A. Bykovskii, D. A. Frolenkov, “The average length of finite continued fractions with fixed denominator”, Sb. Math., 208:5 (2017), 644–683
16.	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

2016
17.	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 (cited: 3) (cited: 3)

2015
18.	V. A. Bykovskii, D. A. Frolenkov, “Some integral representations of hypergeometric function”, FEMJ, 15:1 (2015), 38–40
19.	D. A. Frolenkov, “On the uniform bounds on hypergeometric function”, Dal'nevost. Mat. Zh., 15:2 (2015), 289–298
20.	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 (cited: 2) (cited: 1)
21.	V. A. Bykovskii, D. A. Frolenkov, “Asymptotic formula for the convolution of a generalized divisor function”, Dokl. Math., 92:3 (2015), 670–673 (cited: 1) (cited: 1)

2014
22.	I. D. Kan, D. A. Frolenkov, “A strengthening of a theorem of Bourgain and Kontorovich”, Izv. Math., 78:2 (2014), 293–353 (cited: 7) (cited: 1) (cited: 1) (cited: 4)
23.	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

2013
24.	D. A. Frolenkov, K. Soundararajan, “A generalization of the Pólya–Vinogradov inequality”, Ramanujan J., 31:3 (2013), 271–279 (cited: 11) (cited: 14)

2012
25.	D. A. Frolenkov, “The mean value of Frobenius numbers with three arguments”, Izv. Math., 76:4 (2012), 760–819 (cited: 3) (cited: 3) (cited: 3) (cited: 2)
26.	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 (cited: 1) (cited: 1) (cited: 1) (cited: 1)

2011
27.	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 сумме сумм Клоостремана и ее приложении D. Frolenkov Contemporary Problems in Number Theory October 11, 2018 12:45
2.	О средней длине конечных цепных дробей с фиксированным знаменателем D. Frolenkov Steklov Mathematical Institute Seminar May 17, 2018 16:00
3.	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
4.	О спектральной тригонометрической сумме D. Frolenkov Contemporary Problems in Number Theory November 16, 2017 12:45
5.	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
6.	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
7.	Улучшение теоремы Портера о средней длине цепных дробей с фиксированным знаменателем D. A. Frolenkov Contemporary Problems in Number Theory September 24, 2015 12:45
8.	Zaremba conjecture D. A. Frolenkov Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences February 28, 2013 16:00
9.	О новых результатах в гипотезе Зарембы D. A. Frolenkov Seminar of the Department of Algebra and Department of Algebraic Geometry (Shafarevich Seminar) February 19, 2013 15:00
10.	Гипотеза Зарембы D. A. Frolenkov Contemporary Problems in Number Theory February 14, 2013 12:45
11.	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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