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Список публикаций:
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Цитирования (Crossref Cited-By Service + Math-Net.Ru) |
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| 1. |
О. Г. Балканова, “Асимптотика гипергеометрической функции Гаусса, возникающей в моментах L-функций симметрического квадрата I”, Матем. заметки (в печати)  |
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 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  ; |
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| 2023 |
| 3. |
О. Г. Балканова, “Формула спектрального разложения и моменты $L$-функций симметрического квадрата”, Изв. РАН. Сер. матем., 87:4 (2023), 3–46    ; O. G. Balkanova, “Spectral decomposition formula and moments of symmetric square $L$-functions”, Izv. Math., 87:4 (2023), 641–682  |
| 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 ; |
| 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) ; (Published online) |
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| 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 ;
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2
[x]
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| 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 ;
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4
[x]
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| 2021 |
| 8. |
Olga Balkanova, “The first moment of Maass form symmetric square $L$-functions”, Ramanujan J., 55 (2021), 761–781 ; (Published online)
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3
[x]
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| 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 ; (Published online)
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6
[x]
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| 10. |
Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of Maass form symmetric square $L$-functions”, J. Math. Anal. Appl., 500:2 (2021), 125148 , 23 pp. ; |
| 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 ;
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8
[x]
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| 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 ;
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2
[x]
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| 13. |
Olga Balkanova, Dmitry Frolenkov, “Prime geodesic theorem for the Picard manifold”, Adv. Math., 375 (2020), 107377 , 42 pp., arXiv: 1804.00275 ;
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5
[x]
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| 2019 |
| 14. |
Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272 , arXiv: 1803.04201
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6
[x]
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| 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
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8
[x]
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| 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 
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10
[x]
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| 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
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3
[x]
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| 18. |
Olga Balkanova, Dmitry Frolenkov, “Convolution formula for the sums of generalized Dirichlet L-functions”, Rev. Mat. Iberoam., 35:7 (2019), 1973–1995
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4
[x]
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| 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
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1
[x]
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| 20. |
Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59 , arXiv: 1610.06331
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11
[x]
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| 2017 |
| 21. |
Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017), 293–303
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1
[x]
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| 22. |
О. Г. Балканова, Д. А. Фроленков, “О бинарной аддитивной проблеме делителей”, Аналитическая теория чисел, Сборник статей. К 80-летию со дня рождения Анатолия Алексеевича Карацубы, Тр. МИАН, 299, МАИК, М., 2017, 50–55  ; Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Proc. Steklov Inst. Math., 299 (2017), 44–49
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2
[x]
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| 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
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2
[x]
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| 2016 |
| 24. |
О. Г. Балканова, Д. А. Фроленков, “Равномерная асимптотическая формула для второго момента примитивных $L$-функций на критической прямой”, Современные проблемы математики, механики и математической физики. II, Сборник статей, Тр. МИАН, 294, МАИК, М., 2016, 20–53 ; 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
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5
[x]
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| 25. |
Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arith., 174 (2016), 121–174
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2
[x]
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