01.01.06 (Mathematical logic, algebra, and number theory)
Keywords:
L-functions, spectral theory of automorphic forms
Subject:
Analytic number theory
Main publications:
Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arithmetica, 174 (2016), 121-174
Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square L-functions”, Algebra and Number theory, 12 (2018), 35-59
Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf, “Mixed moment of GL(2) and GL(3) L-functions”, Proceedings of the London Mathematical Society, 121:2 (2020), 177-219
Olga Balkanova, Dmitry Frolenkov, “Moments of L-functions and Liouville-Green method”, J. Eur. Math. Soc. (JEMS) (to appear) , arXiv: 1610.03465
2020
2.
O. Balkanova, G. Bhowmik, D. Frolenkov, N. Raulf, “Mixed moment of $GL(2)$ and $GL(3)$$L$-functions”, Proc. London Math. Soc. (3), 121:2 (2020), 177–219;
2019
3.
Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272 , arXiv: 1803.04201 (cited: 2) (cited: 2)
4.
Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019), 60, 649–674 , 27 pp., arXiv: 1803.04206 (cited: 1) (cited: 1)
5.
Olga Balkanova, Dimitrios Chatzakos, Giacomo Cherubini, Dmitry Frolenkov, Niko Laaksonen, “Prime geodesic theorem in the 3-dimensional hyperbolic space”, Trans. Amer. Math. Soc., 372:8 (2019), 5355–5374 , arXiv: 1712.00880 (cited: 1)
6.
Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf, “A mean value result for a product of $GL(2)$ and $GL(3)$$L$-functions”, Mathematika, 65:3 (2019), 743–762 , arXiv: 1710.01388
7.
Olga Balkanova, Dmitry Frolenkov, “Convolution formula for the sums of generalized Dirichlet L-functions”, Rev. Mat. Iberoam., 35:7 (2019), 1973–1995
2018
8.
Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018), 17–41 , arXiv: 1605.02434 (cited: 1)
9.
Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59 , arXiv: 1610.06331 (cited: 3) (cited: 2)
2017
10.
Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017), 293–303 (cited: 1) (cited: 1)
11.
Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Proc. Steklov Inst. Math., 299 (2017), 44–49
12.
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
2016
13.
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 (cited: 3) (cited: 2)
14.
Olga Balkanova, “The shifted fourth moment of automorphic L-functions of prime power level”, Acta Arith., 174 (2016), 121–174 (cited: 1) (cited: 1)
2020
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