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Balkanova, Olga Germanovna

Total publications: 25 (25)
in MathSciNet: 23 (23)
in zbMATH: 6 (6)
in Web of Science: 21 (21)
in Scopus: 22 (22)
Cited articles: 19
Citations: 85
Presentations: 22

Number of views:
This page:4616
Abstract pages:3386
Full texts:124
References:195
Balkanova, Olga Germanovna
PhD (2015)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Keywords: L-functions, spectral theory of automorphic forms.

Subject:

Analytic number theory

   
Main publications:

https://www.mathnet.ru/eng/person119203
List of publications on Google Scholar
https://zbmath.org/authors/ai:balkanova.olga-g
https://mathscinet.ams.org/mathscinet/MRAuthorID/1168196
https://orcid.org/0000-0003-3427-0300
https://www.webofscience.com/wos/author/record/R-4988-2016
https://www.scopus.com/authid/detail.url?authorId=57190307007
https://www.researchgate.net/profile/Olga_Balkanova
https://arxiv.org/a/balkanova_o_1

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. O. G. Balkanova, “Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I”, Mat. Zametki (to appear)  mathnet

   2024
2. Olga Balkanova, Dmitry Frolenkov, “A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight”, Monatsh. Math., 203 (2024), 733–764  mathnet  crossref;

   2023
3. O. G. Balkanova, “Spectral decomposition formula and moments of symmetric square $L$-functions”, Izv. Math., 87:4 (2023), 641–682  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
4. 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  mathnet  crossref  mathscinet  isi;
5. 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., 2023, 1–24 (Published online)  mathnet  crossref; (Published online)

   2022
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  mathnet  crossref  mathscinet  isi  scopus; 2
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  mathnet  crossref  mathscinet  scopus; 4

   2021
8. Olga Balkanova, “The first moment of Maass form symmetric square $L$-functions”, Ramanujan J., 55 (2021), 761–781  mathnet  crossref  mathscinet  isi  scopus; (Published online) 3
9. Olga Balkanova, Bingrong Huang, Anders Södergren, “Non-vanishing of Maass form $L$-functions at the central point”, Proc. Amer. Math. Soc., 149:2 (2021), 509–523  mathnet  crossref  mathscinet  isi  scopus; (Published online) 6
10. Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of Maass form symmetric square $L$-functions”, J. Math. Anal. Appl., 500:2 (2021), 125148 , 23 pp.  mathnet  crossref  isi  scopus;
11. 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  mathnet  crossref  mathscinet  isi  scopus; 8

   2020
12. 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  mathnet  crossref  mathscinet  isi  scopus;  mathscinet 2
13. Olga Balkanova, Dmitry Frolenkov, “Prime geodesic theorem for the Picard manifold”, Adv. Math., 375 (2020), 107377 , 42 pp., arXiv: 1804.00275  mathnet  crossref  mathscinet  isi  scopus; 5

   2019
14. 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  isi  scopus 6
15. Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019), 60, 649–674 , 27 pp., arXiv: 1803.04206  mathnet  crossref  mathscinet  isi  scopus 8
16. 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  scopus 10
17. 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  scopus 3
18. Olga Balkanova, Dmitry Frolenkov, “Convolution formula for the sums of generalized Dirichlet L-functions”, Rev. Mat. Iberoam., 35:7 (2019), 1973–1995  mathnet  crossref  mathscinet  zmath  isi  scopus 4

   2018
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  mathnet  crossref  mathscinet  isi  scopus 1
20. 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  scopus 11

   2017
21. 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  scopus 1
22. 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
23. 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 2

   2016
24. 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  elib  elib  scopus
25. Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arith., 174 (2016), 121–174  crossref  mathscinet  zmath  isi  scopus 2

Presentations in Math-Net.Ru
1. 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   
2. Гибридные оценки L-функций симметрического квадрата
O. G. Balkanova
Contemporary Problems in Number Theory
November 7, 2024 12:30   
3. Формула суммирования Вороного для неголоморфных форм Маасса полуцелого веса
O. G. Balkanova
Conference on Complex Analysis and its Applications
September 12, 2023 17:00   
4. $L$-функции модулярных форм и приложения
O. G. Balkanova
Shafarevich Seminar
April 12, 2022 15:00   
5. 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   
6. Теорема о простых геодезических
O. G. Balkanova
Number theory and Geometry. Alexey Zykin memorial conference
June 24, 2021 14:30
7. Lecture 15. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
December 23, 2020 18:00   
8. L-функции форм Маасса в центральной точке
O. G. Balkanova
Contemporary Problems in Number Theory
December 17, 2020 12:45
9. Lecture 14. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
December 16, 2020 18:00   
10. Lecture 13. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
December 9, 2020 18:00   
11. Lecture 12. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
December 2, 2020 18:00   
12. Lecture 11. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
November 25, 2020 18:00   
13. Lecture 10. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
November 18, 2020 18:00   
14. Lecture 9. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
November 11, 2020 18:00   
15. Lecture 8. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
November 4, 2020 18:00   
16. Lecture 7. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
October 28, 2020 18:00   
17. Lecture 6. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
October 21, 2020 18:00   
18. Lecture 5. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
October 14, 2020 18:00   
19. Lecture 4. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
October 7, 2020 18:00   
20. Lecture 3. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
September 30, 2020 18:00   
21. Lecture 2. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
September 23, 2020 18:00   
22. Lecture 1. Spectral theory and the Kuznetsov trace formula
O. G. Balkanova
Course by O. G. Balkanova "Spectral theory and the Kuznetsov trace formula"
September 16, 2020 18:00   

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