Prime geodesic theorem for the Picard manifold
Journal article, 2020

Let Γ=PSL(2,Z[i]) be the Picard group and H3 be the three-dimensional hyperbolic space. We study the Prime Geodesic Theorem for the quotient Γ∖H3, called the Picard manifold, obtaining an error term of size O(X3/2+θ/2+ϵ), where θ denotes a subconvexity exponent for quadratic Dirichlet L-functions defined over Gaussian integers.

Prime geodesic theorem

Picard manifold

Spectral exponential sum

Author

Olga Balkanova

Chalmers, Mathematical Sciences, Algebra and geometry

Dmitry Frolenkov

Russian Academy of Sciences

Advances in Mathematics

0001-8708 (ISSN) 1090-2082 (eISSN)

Vol. 375 107377

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

DOI

10.1016/j.aim.2020.107377

More information

Latest update

9/14/2020