Polyharmonic Maass forms and Hecke series for real quadratic fields
Document Type
Lecture
Publication Date
1-31-2023
Abstract
We study polyharmonic Maass forms and show that they are related to ray class extensions of real quadratic fields. In particular, we generalize work of Lagarias and Rhoades to give a basis for the space of polyharmonic Maass forms for Γ(N). Modifying an argument of Hecke, we show that twisted traces of cycle integrals of certain depth 2 polyharmonic Maass forms are leading coefficients of Hecke L-series of real quadratic fields. This is joint work with Gene Kopp.
Relational Format
presentation
Recommended Citation
Beckwith, Olivia, "Polyharmonic Maass forms and Hecke series for real quadratic fields" (2023). Algebra/Number Theory Seminar. 10.
https://egrove.olemiss.edu/math_algebra_number_theory/10
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