Conjugation of Hilbert modular forms and trace formula

Joachim Mahnkopf

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arXiv · 1102.2316

Conjugation of Hilbert modular forms and trace formula

Joachim Mahnkopf

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Abstract

We describe (in a representation theoretic setting) a simple comparison of trace formulas, which implies that the conjugate of a Hilbert modular form $f$ by an automorphism of ${\Bbb C}$ again is a Hilbert modular form of the same level and conjugate weight as $f$. This is a Theorem of Shimura for which we obtain a new proof (cf. Theorem 3.3 and Corollary 3.4

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BibTeX RIS

Joachim Mahnkopf. 2011-02-11. Conjugation of Hilbert modular forms and trace formula. https://arxiv.org/abs/1102.2316

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