Year: 2025
Type: article
Abstract: In recent work with Bober, Booker, Lee, Seymour-Howell, and Zubrilina, we proved murmuration behavior for Maass forms in the eigenvalue aspect and for modular forms in the weight aspect. Both used an approach based on the Selberg trace formula. But different trace formulas, including those due to Kuznetsov or Petersson, offer different variations. We examine murmurations from the perspective of different trace formulas and outline several families of [Formula: see text]-functions where one can likely prove additional murmuration behavior.
Author: David Lowry-Duda
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Simons Foundation
Award: G7230825717
OpenAlex ID: W4415013211