Frolenkov, Dmitry Andreevich

Total publications: 28 (28)
in MathSciNet: 24 (24)
in zbMATH: 14 (14)
in Web of Science: 21 (21)
in Scopus: 21 (21)
Cited articles: 20
Citations in Math-Net.Ru: 24
Citations in MathSciNet: 44
Citations in Web of Science: 51
Citations in Scopus: 48
Presentations: 12

Number of views:
This page:3844
Abstract pages:3319
Full texts:496
Candidate of physico-mathematical sciences
Keywords: automorphic L-functions, convolution formulae.


Analytic number theory. Automorphic functions. Kloosterman sums. $L$-functions. Continued fractions.|frolenkov.dmitriy-a

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

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  mathnet  crossref  isi  scopus;
3. Dmitry Frolenkov, “The cubic moment of automorphic $L$-functions in the weight aspect”, J. Number Theory, 207:2 (2020), 247–281  mathnet  crossref  mathscinet  zmath  isi  scopus;
4. D. A. Frolenkov, “Nondiagonal terms in the second moment of automorphic $L$-functions”, Sb. Math., 211:8 (2020), 1171–1189  mathnet  crossref  crossref
5. Olga Balkanova, Dmitry Frolenkov, “Prime geodesic theorem for the Picard manifold”, Adv. Math., 375 (2020), 107377 , 42 pp., arXiv: 1804.00275  mathnet  crossref  scopus;

6. Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272 , arXiv: 1803.04201  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 6)
7. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 4)
8. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)
9. Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019), 649–674 , arXiv: 1803.04206  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
10. 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  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)

11. Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018), 17–41 , arXiv: 1605.02434  mathnet  crossref  mathscinet  isi  scopus (cited: 1)
12. Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59 , arXiv: 1610.06331  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)

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

18. 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  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib  scopus (cited: 3)

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

23. I. D. Kan, D. A. Frolenkov, “A strengthening of a theorem of Bourgain and Kontorovich”, Izv. Math., 78:2 (2014), 293–353  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)
24. 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  mathnet  mathscinet  zmath

25. D. A. Frolenkov, K. Soundararajan, “A generalization of the Pólya–Vinogradov inequality”, Ramanujan J., 31:3 (2013), 271–279  mathnet  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 14)

26. D. A. Frolenkov, “The mean value of Frobenius numbers with three arguments”, Izv. Math., 76:4 (2012), 760–819  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
27. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

28. D. A. Frolenkov, “A numerically explicit version of the Pólya-Vinogradov inequality”, Mosc. J. Comb. Number Theory, 1:3 (2011), 25–41  mathscinet  zmath  elib

Presentations in Math-Net.Ru
1. Additive divisor problem and Applications
D. Frolenkov
Beijing–Moscow Mathematics Colloquium
October 23, 2020 14:15
2. Об одной сумме сумм Клоостремана и ее приложении
D. Frolenkov
Contemporary Problems in Number Theory
October 11, 2018 12:45
3. О средней длине конечных цепных дробей с фиксированным знаменателем
D. Frolenkov
Steklov Mathematical Institute Seminar
May 17, 2018 16:00   
4. 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   
5. О спектральной тригонометрической сумме
D. Frolenkov
Contemporary Problems in Number Theory
November 16, 2017 12:45
6. 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   
7. 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   
8. Улучшение теоремы Портера о средней длине цепных дробей с фиксированным знаменателем
D. A. Frolenkov
Contemporary Problems in Number Theory
September 24, 2015 12:45
9. Zaremba conjecture
D. A. Frolenkov
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
February 28, 2013 16:00   
10. 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
11. Гипотеза Зарембы
D. A. Frolenkov
Contemporary Problems in Number Theory
February 14, 2013 12:45
12. 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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