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Balkanova, Olga Germanovna

Statistics Math-Net.Ru
Total publications: 2
Scientific articles: 2

Number of views:
This page:1073
Abstract pages:483
Full texts:5
References:39
PhD
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Keywords: L-functions, spectral theory of automorphic forms

Subject:

Analytic number theory

   
Main publications:
  1. Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arithmetica, 174 (2016), 121-174
  2. Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square L-functions”, Algebra and Number theory, 12 (2018), 35-59
  3. Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf, “Mixed moment of GL(2) and GL(3) L-functions”, Proceedings of the London Mathematical Society

http://www.mathnet.ru/eng/person119203
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:balkanova.olga-g
https://mathscinet.ams.org/mathscinet/MRAuthorID/1168196
http://www.scopus.com/authid/detail.url?authorId=57190307007

Publications in Math-Net.Ru
2019
1. Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019),  249–272  mathnet  isi  scopus
2. 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  mathnet  isi
3. Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019),  649–674  mathnet  isi  scopus
4. 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  mathnet  scopus
2018
5. Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018),  35–59  mathnet  isi  scopus
6. Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018),  17–41  mathnet  isi  scopus
2017
7. Olga Balkanova, Dmitry Frolenkov, “The first moment of cusp form $L$-functions in weight aspect on average”, Acta Arith., 181:3 (2017),  197–208  mathnet  isi  scopus
8. Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017),  293–303  mathnet  mathscinet  zmath  isi  scopus
9. Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Tr. Mat. Inst. Steklova, 299 (2017),  50–55  mathnet  elib; Proc. Steklov Inst. Math., 299 (2017), 44–49  isi  scopus
2016
10. Olga G. Balkanova, Dmitry A. Frolenkov, “A uniform asymptotic formula for the second moment of primitive $L$-functions on the critical line”, Tr. Mat. Inst. Steklova, 294 (2016),  20–53  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 294 (2016), 13–46  isi  elib  scopus

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