Kristian Holm

University of Gothenburg – Chalmers University of Gothenburg - Chalmers

A Central Limit Theorem for Symplectic Lattice Point Counting Functions

Linfoot Number Theory Seminar

23rd February 2022, 11:00 am – 12:00 pm
Fry Building, Online

We study a sequence of counting functions on the space of 2d-dimensional symplectic lattices where d is at least 4. Using a combinatorial device introduced by Björklund and Gorodnik in order to estimate cumulants (polynomial expressions in moments), we prove that our sequence satisfies a central limit theorem. The proof even involves obtaining new estimates on a certain height function introduced by Schmidt on the space of symplectic lattices.

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