Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2014; 29(4): 497-503

Printed October 1, 2014

https://doi.org/10.4134/CKMS.2014.29.4.497

Copyright © The Korean Mathematical Society.

Newforms of level $4$ and of trivial character

Yichao Zhang

University of Connecticut

Abstract

Go to

In this paper, we consider characters of $\text{SL}_2(\mathbb Z)$ and then apply them to newforms of integral weight, level $4$ and of trivial character. More precisely, we prove that all of them are actually level $1$ forms of some nontrivial character. As a byproduct, we prove that they all are eigenfunctions of the Fricke involution with eigenvalue $-1$.

Keywords: Fricke involution, non-Dirichlet character

MSC numbers: Primary 11F11, 11F06

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS