Conjugation of Hilbert modular forms and trace formula

Details Conjugation of Hilbert modular forms and trace formula Conjugation of Hilbert modular forms and trace formula

2011-02-11

arxiv.org/abs/1102.2316v1

Mathematics

Number Theory

Scientific paper

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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