Examples of Shimura correspondence for level p^2 and real quadratic twists
Number Theory
2021-07-14 v1
Abstract
We give examples of Shimura correspondence for rational modular forms f of weight 2 and level p^2, for primes p<=19, computed as an application of a method we introduced in \cite{Pacetti-Tornaria}. Furthermore, we verify in this examples a conjectural formula for the central values L(f,-pd,1) and, in case p = 3 (mod 4), a formula for the central values L(f,d,1) corresponding to the real quadratic twists of f.
Cite
@article{arxiv.math/0412104,
title = {Examples of Shimura correspondence for level p^2 and real quadratic twists},
author = {Ariel Pacetti and Gonzalo Tornaria},
journal= {arXiv preprint arXiv:math/0412104},
year = {2021}
}
Comments
21 pages, submitted to "Elliptic curves and random matrix theory."