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Balkanova Olga Germanovna
(recent publications)

by years

scientific publications

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1.	O. G. Balkanova, V. A. Bykovskii, D. Frolenkov, “ON ZAGIER L-SERIES OF ODD LEVEL”, Izv. RAN. Ser. Mat. (to appear)

2026
2.	O. G. Balkanova, “Asymptotics of the Gaussian hypergeometric function related to moments of symmetric square $L$-functions. I”, Math. Notes, 119:3 (2026), 388–396
3.	Olga Balkanova, Dmitry Frolenkov, “The shifted fourth moment of modular form L-functions in the weight aspect”, Can. J. Math., 2026, 1–54 (Published online), arXiv: 2408.05306
4.	Olga Balkanova, Dmitry Frolenkov, “Hybrid subconvexity for Maass form symmetric-square $L$-functions”, Proc. R. Soc. Edinb., Sect. A, Math., 2026, 1–51 (Published online), arXiv: 2408.06735

2025
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., 77:3 (2025), 715–738	2 ^[x]
6.	O. G. Balkanova, “The first moment of symmetric square $L$-functions associated with modular forms”, Sb. Math., 216:9 (2025), 1193–1210

2024
7.	Olga Balkanova, Dmitry Frolenkov, “A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight”, Monatsh. Math., 203 (2024), 733–764	3 ^[x]

2023
8.	O. G. Balkanova, “Spectral decomposition formula and moments of symmetric square $L$-functions”, Izv. Math., 87:4 (2023), 641–682
9.	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	2 ^[x]

2022
10.	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	3 ^[x]
11.	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	4 ^[x]

2021
12.	Olga Balkanova, “The first moment of Maass form symmetric square $L$-functions”, Ramanujan J., 55 (2021), 761–781	8 ^[x]
13.	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	7 ^[x]
14.	Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of Maass form symmetric square $L$-functions”, J. Math. Anal. Appl., 500:2 (2021), 125148, 23 pp.	6 ^[x]
15.	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	11 ^[x]

2020
16.	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	4 ^[x]
17.	Olga Balkanova, Dmitry Frolenkov, “Prime geodesic theorem for the Picard manifold”, Adv. Math., 375 (2020), 107377, 42 pp., arXiv: 1804.00275	6 ^[x]

2019
18.	Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272, arXiv: 1803.04201	8 ^[x]
19.	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	10 ^[x]
20.	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	12 ^[x]
21.	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	4 ^[x]
22.	Olga Balkanova, Dmitry Frolenkov, “Convolution formula for the sums of generalized Dirichlet L-functions”, Rev. Mat. Iberoam., 35:7 (2019), 1973–1995	7 ^[x]

2018
23.	Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018), 17–41, arXiv: 1605.02434	3 ^[x]
24.	Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59, arXiv: 1610.06331	14 ^[x]

2017
25.	Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017), 293–303	1 ^[x]
26.	Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Proc. Steklov Inst. Math., 299 (2017), 44–49
27.	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	2 ^[x]

2016
28.	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
29.	Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arith., 174 (2016), 121–174	2 ^[x]

Full list of publications