Olga Balkanova

I received my PhD degree in Mathematics in the framework of the ALGANT Joint Doctoral Program (Bordeaux, Milan, Montreal). During the fall semester 2015 I was an ICERM Postdoctoral Fellow at Brown University participating in the program on "Computational Aspects of the Langlands Program". After that I was a Visiting Researcher at the Institute for Applied Mathematics, Khabarovsk. For the 2016-2017 academic year I was a Senior Researcher at the University of Turku. Currently I am a Postdoctoral Fellow at the University of Gothenburg.

Research interests:

  • Analytic Number theory
  • L-functions
  • Spectral theory of automorphic forms
  • Maass forms of half-integral weight
  • Kloosterman sums

PhD thesis

Contact: baolga at chalmers.se

Papers (published or accepted):

  1. Sums of Kloosterman sums in the prime geodesic theorem (with D. Frolenkov), The Quarterly Journal of Mathematics, accepted, arXiv
  2. Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space (with D. Chatzakos, G. Cherubini, D. Frolenkov and N. Laaksonen), Transactions of the American Mathematical Society, accepted, arXiv
  3. Convolution formula for the sums of generalized Dirichlet L-functions (with D. Frolenkov), Revista Matemática Iberoamericana, accepted, arXiv
  4. Bounds for a spectral exponential sum (with D. Frolenkov), Journal of the London Mathematical Society, published online, link
  5. The mean value of symmetric square L-functions (with D. Frolenkov), Algebra and Number Theory, 12 (2018), p. 35-59, link
  6. Non-vanishing of automorphic L-functions of prime power level (with D. Frolenkov), Monatshefte für Mathematik, 185:1 (2018), p. 17-41, link
  7. The first moment of cusp form L-functions in weight aspect on average (with D. Frolenkov), Acta Arithmetica, 181:3 (2017), p. 197-208, link
  8. A note on the binary additive divisor problem (with D. Frolenkov), Proceedings of the Steklov Institute of Mathematics, special issue dedicated to the 80th anniversary of A.A. Karatsuba, 299:1 (2017), p. 44-49, link
  9. New error term for the fourth moment of automorphic L-functions (with D. Frolenkov), Journal of Number Theory 173 (2017), p. 293-303, link
  10. A uniform asymptotic formula for the second moment of primitive L-functions on the critical line (with D. Frolenkov), Proceedings of the Steklov Institute of Mathematics 294 (2016), p. 20-53, link
  11. The shifted fourth moment of automorphic L-functions of prime power level, Acta Arithmetica 174 (2016), p. 121-174, link

Preprints:

  1. A mean value result for a product of GL(2) and GL(3) L-functions (with G. Bhowmik, D. Frolenkov and N. Raulf), arXiv
  2. Moments of L-functions and the Liouville-Green method (with D. Frolenkov), arXiv
  3. Prime Geodesic Theorem for the Picard manifold (with D. Frolenkov), arXiv


Contribution to conference proceedings:

  1. Pell equation and systems of quadratic equations with parameters (with K. Pravdin), Scientific and technical journal of information technologies, mechanics and optics, 2(47), 2008, p. 105-112 (in Russian), link
  2. Moments of L-functions and Liouville-Green method, Oberwolfach reports 40/2017, "Automorphic forms and Arithmetic", link