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An Isaac Newton Institute Workshop

Random Matrix Theory and Arithmetic Aspects of Quantum Chaos

Numerical Computations with the Trace Formula and the Selberg Eigenvalue Conjecture

Author: Andreas Strömbergsson (Uppsala University)

Abstract

I will report on some numerical computations with the trace formula on congruence subgroups of the modular group. In particular I will discuss how to check numerically the validity of the Selberg eigenvalue conjecture for specific congruence subgroups.

This is joint work with Andrew Booker.