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
Olga Balkanova, Dmitry Frolenkov, “Bounds for a spectral exponential sum”, J. London Math. Soc., 99:2 (2019), 249–272
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
3.
Olga Balkanova, Dmitry Frolenkov, “Sums of Kloosterman sums in the prime geodesic theorem”, Q. J. Math., 70:2 (2019), 649–674
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
2018
5.
Olga Balkanova, Dmitry Frolenkov, “The mean value of symmetric square $L$-functions”, Algebra Number Theory, 12:1 (2018), 35–59
6.
Olga Balkanova, Dmitry Frolenkov, “Non-vanishing of automorphic $L$-functions of prime power level”, Monatsh. Math., 185:1 (2018), 17–41
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
8.
Olga Balkanova, Dmitry Frolenkov, “New error term for the fourth moment of automorphic $L$-functions”, J. Number Theory, 173 (2017), 293–303
9.
Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Tr. Mat. Inst. Steklova, 299 (2017), 50–55; Proc. Steklov Inst. Math., 299 (2017), 44–49
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; Proc. Steklov Inst. Math., 294 (2016), 13–46
Terms of Use