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math.NT2020
Small scale equidistribution of Hecke eigenforms at infinity
Asbjorn Christian Nordentoft, Yiannis N. Petridis, Morten S. Risager
We investigate the equidistribution of Hecke eigenforms on sets that are shrinking towards infinity. We show that at scales finer than the Planck scale they do not equidistribute w…
math.NT2020
Residual equidistribution of modular symbols and cohomology classes for quotients of hyperbolic -space
Asbjorn Christian Nordentoft, Petru Constantinescu
We provide a new and simple automorphic method using Eisenstein series to study the equidistribution of modular symbols modulo primes, which we apply to prove an average version of…