# zbMATH — the first resource for mathematics

## Balkanova, Ol’ga Germanovna

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 Author ID: balkanova.olga-g Published as: Balkanova, Olga; Balkanova, Olga G.; Balkanova, O. External Links: MGP · ORCID · Math-Net.Ru
 Documents Indexed: 18 Publications since 2016
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#### Co-Authors

 2 single-authored 15 Frolenkov, Dmitriĭ Andreevich 2 Bhowmik, Gautami 2 Raulf, Nicole 1 Chatzakos, Dimitrios 1 Cherubini, Giacomo 1 Huang, Bingrong 1 Laaksonen, Niko 1 Södergren, Anders
all top 5

#### Serials

 2 Acta Arithmetica 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 The Ramanujan Journal 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Algebra & Number Theory

#### Fields

 18 Number theory (11-XX) 3 Special functions (33-XX) 2 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 37 times in 23 Documents Cited by Year
The mean value of symmetric square $$L$$-functions. Zbl 1445.11039
Balkanova, Olga; Frolenkov, Dmitry
2018
A uniform asymptotic formula for the second moment of primitive $$L$$-functions on the critical line. Zbl 1397.11129
Balkanova, Olga G.; Frolenkov, Dmitry A.
2016
Bounds for a spectral exponential sum. Zbl 1456.11092
Balkanova, Olga; Frolenkov, Dmitry
2019
Sums of Kloosterman sums in the prime geodesic theorem. Zbl 1456.11144
Balkanova, Olga; Frolenkov, Dmitry
2018
Non-vanishing of automorphic $$L$$-functions of prime power level. Zbl 1450.11046
Balkanova, Olga; Frolenkov, Dmitry
2018
The first moment of cusp form $$L$$-functions in weight aspect on average. Zbl 1422.11082
Balkanova, Olga; Frolenkov, Dmitry
2017
Prime geodesic theorem in the 3-dimensional hyperbolic space. Zbl 07121875
Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko
2019
The shifted fourth moment of automorphic $$L$$-functions of prime power level. Zbl 1354.11037
Balkanova, Olga
2016
New error term for the fourth moment of automorphic $$L$$-functions. Zbl 1420.11087
Balkanova, Olga; Frolenkov, Dmitry
2017
Convolution formula for the sums of generalized Dirichlet $$L$$-functions. Zbl 1472.11149
Balkanova, Olga; Frolenkov, Dmitry
2019
Non-vanishing of Maass form $$L$$-functions at the central point. Zbl 07299096
Balkanova, Olga; Huang, Bingrong; Södergren, Anders
2021
Moments of $$L$$-functions and the Liouville-Green method. Zbl 07357351
Balkanova, Olga; Frolenkov, Dmitry
2021
On the binary additive divisor problem. Zbl 1404.11117
Balkanova, Olga G.; Frolenkov, Dmitry A.
2017
Non-vanishing of Maass form $$L$$-functions at the central point. Zbl 07299096
Balkanova, Olga; Huang, Bingrong; Södergren, Anders
2021
Moments of $$L$$-functions and the Liouville-Green method. Zbl 07357351
Balkanova, Olga; Frolenkov, Dmitry
2021
Bounds for a spectral exponential sum. Zbl 1456.11092
Balkanova, Olga; Frolenkov, Dmitry
2019
Prime geodesic theorem in the 3-dimensional hyperbolic space. Zbl 07121875
Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko
2019
Convolution formula for the sums of generalized Dirichlet $$L$$-functions. Zbl 1472.11149
Balkanova, Olga; Frolenkov, Dmitry
2019
The mean value of symmetric square $$L$$-functions. Zbl 1445.11039
Balkanova, Olga; Frolenkov, Dmitry
2018
Sums of Kloosterman sums in the prime geodesic theorem. Zbl 1456.11144
Balkanova, Olga; Frolenkov, Dmitry
2018
Non-vanishing of automorphic $$L$$-functions of prime power level. Zbl 1450.11046
Balkanova, Olga; Frolenkov, Dmitry
2018
The first moment of cusp form $$L$$-functions in weight aspect on average. Zbl 1422.11082
Balkanova, Olga; Frolenkov, Dmitry
2017
New error term for the fourth moment of automorphic $$L$$-functions. Zbl 1420.11087
Balkanova, Olga; Frolenkov, Dmitry
2017
On the binary additive divisor problem. Zbl 1404.11117
Balkanova, Olga G.; Frolenkov, Dmitry A.
2017
A uniform asymptotic formula for the second moment of primitive $$L$$-functions on the critical line. Zbl 1397.11129
Balkanova, Olga G.; Frolenkov, Dmitry A.
2016
The shifted fourth moment of automorphic $$L$$-functions of prime power level. Zbl 1354.11037
Balkanova, Olga
2016
all top 5

#### Cited by 19 Authors

 11 Balkanova, Ol’ga Germanovna 11 Frolenkov, Dmitriĭ Andreevich 3 Avdispahić, Muharem 2 Liu, Shenhui 1 Bettin, Sandro 1 Bhowmik, Gautami 1 Chatzakos, Dimitrios 1 Cherubini, Giacomo 1 Huang, Bingrong 1 Kaneko, Ikuya 1 Kıral, Eren Mehmet 1 Laaksonen, Niko 1 Ng, Ming-Ho 1 Pi, Qinghua 1 Qi, Zhi 1 Raulf, Nicole 1 Šabanac, Zenan 1 Södergren, Anders 1 Young, Matthew P.
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#### Cited in 18 Serials

 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 The Ramanujan Journal 2 Journal of the European Mathematical Society (JEMS) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Mathematical Analysis and Applications 1 Acta Arithmetica 1 Advances in Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematische Zeitschrift 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Sbornik: Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Proceedings of the Steklov Institute of Mathematics

#### Cited in 4 Fields

 23 Number theory (11-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Special functions (33-XX) 1 Ordinary differential equations (34-XX)