Conjugation of Hilbert modular forms and trace formula
Number Theory
2011-02-14 v1
Abstract
We describe (in a representation theoretic setting) a simple comparison of trace formulas, which implies that the conjugate of a Hilbert modular form by an automorphism of again is a Hilbert modular form of the same level and conjugate weight as . This is a Theorem of Shimura for which we obtain a new proof (cf. Theorem 3.3 and Corollary 3.4
Cite
@article{arxiv.1102.2316,
title = {Conjugation of Hilbert modular forms and trace formula},
author = {Joachim Mahnkopf},
journal= {arXiv preprint arXiv:1102.2316},
year = {2011}
}