Olga Balkanova

Postdoctoral Fellow at the University of Gothenburg

Address: Chalmers tvärgata 3, 412 58 Göteborg

Office: L3087

Email: baolga at chalmers.se


I received my PhD degree in 2015 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.

Research interests:

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

PhD thesis


Papers (published or accepted):

  1. A mean value result for a product of GL(2) and GL(3) L-functions (with G. Bhowmik, D. Frolenkov and N. Raulf), Mathematika, 65:3 (2019), pp. 743-762, link
  2. Moments of L-functions and Liouville-Green method (with D. Frolenkov), Journal of the European Mathematical Society (JEMS), accepted, arXiv
  3. Sums of Kloosterman sums in the prime geodesic theorem (with D. Frolenkov), The Quarterly Journal of Mathematics, published online, link
  4. 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, published online, link
  5. Convolution formula for the sums of generalized Dirichlet L-functions (with D. Frolenkov), Revista Matemática Iberoamericana, accepted, arXiv
  6. Bounds for a spectral exponential sum (with D. Frolenkov), Journal of the London Mathematical Society, published online, link
  7. The mean value of symmetric square L-functions (with D. Frolenkov), Algebra and Number Theory, 12 (2018), pp. 35-59, link
  8. Non-vanishing of automorphic L-functions of prime power level (with D. Frolenkov), Monatshefte für Mathematik, 185:1 (2018), pp. 17-41, link
  9. The first moment of cusp form L-functions in weight aspect on average (with D. Frolenkov), Acta Arithmetica, 181:3 (2017), pp. 197-208, link
  10. 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), pp. 44-49, link
  11. New error term for the fourth moment of automorphic L-functions (with D. Frolenkov), Journal of Number Theory 173 (2017), pp. 293-303, link
  12. 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), pp. 20-53, link
  13. The shifted fourth moment of automorphic L-functions of prime power level, Acta Arithmetica 174 (2016), pp. 121-174, link

Preprints:

  1. Prime Geodesic Theorem for the Picard manifold (with D. Frolenkov), arXiv
  2. Non-vanishing of Maass form L-functions at the critical point (with B. Huang and A. Södergren), arXiv
  3. Mixed moment of GL(2) and GL(3) L-functions (with G. Bhowmik, D. Frolenkov and N. Raulf), 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