Equidistribution Of Cusp Forms In The Level Aspect

By Paul D. Nelson. 2010

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Let f traverse a sequence of classical holomorphic newforms of fixed weight and increasing square-free level q -> infinity. We prove that the pushforward of the mass off to the modular curve of level 1 equidistributes with respect to the Poincare measure.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c8c039b7fc3210ec937777b181229a2ae58a02d0