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Balkanova, Olga Germanovna

Total publications: 20 (20)
in MathSciNet: 15 (15)
in zbMATH: 5 (5)
in Web of Science: 18 (18)
in Scopus: 20 (20)
Cited articles: 15
Citations in Math-Net.Ru: 6
Citations in MathSciNet: 11
Citations in Web of Science: 40
Citations in Scopus: 47
Presentations: 17

Number of views:
This page:2633
Abstract pages:731
Full texts:18
References:45
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:

http://www.mathnet.ru/eng/person119203
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:balkanova.olga-g
https://mathscinet.ams.org/mathscinet/MRAuthorID/1168196
http://orcid.org/0000-0003-3427-0300
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 in WoS | by times cited in Scopus | common list |



   2021
1. Olga Balkanova, “The first moment of Maass form symmetric square $L$-functions”, Ramanujan J., 55 (2021), 761–781  mathnet  crossref  isi (cited: 1)  scopus (cited: 1); (Published online)
2. 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  isi (cited: 1)  scopus (cited: 1); (Published online)
3. Olga Balkanova, Dmitry Frolenkov, “The second moment of symmetric square $L$-functions over Gaussian integers”, Proc. R. Soc. Edinb., Sect. A, Math., 2021, 1–27 (Published online) , arXiv: 2008.13399  mathnet  crossref  scopus; (Published online)
4. 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;
5. 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  isi  scopus;
6. Olga Balkanova, Dmitry Frolenkov, Morten S. Risager, “Prime geodesics and averages of the Zagier $L$-series”, Math. Proc. Camb. Philos. Soc., 2021, 1–24 (Published online)  mathnet  crossref  scopus; (Published online)

   2020
7. 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  isi  scopus;
8. 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 (cited: 1)  scopus (cited: 2);

   2019
9. 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 (cited: 7)  scopus (cited: 8)
10. 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 (cited: 3)  scopus (cited: 4)
11. 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: 4)  scopus (cited: 6)
12. 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)  scopus (cited: 1)
13. 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 (cited: 2)  scopus (cited: 3)

   2018
14. 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 (cited: 2)  scopus (cited: 2)
15. 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: 7)  scopus (cited: 9)

   2017
16. 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: 2)  scopus (cited: 2)
17. 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 (cited: 1)  elib  scopus (cited: 1)
18. 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 (cited: 2)  scopus (cited: 2)

   2016
19. 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: 5)  elib  elib  scopus (cited: 4)
20. Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arith., 174 (2016), 121–174  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

Presentations in Math-Net.Ru
1. Теорема о простых геодезических
O. G. Balkanova
Number theory and Geometry. Alexey Zykin memorial conference
June 24, 2021 14:30
2. 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   
3. L-функции форм Маасса в центральной точке
O. G. Balkanova
Contemporary Problems in Number Theory
December 17, 2020 12:45
4. 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   
5. 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   
6. 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   
7. 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   
8. 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   
9. 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   
10. 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   
11. 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   
12. 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   
13. 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   
14. 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   
15. 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   
16. 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   
17. 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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