The critical values of $L$-functions of CM-base change for Hilbert modular forms
نویسندگان
چکیده
منابع مشابه
Traces of Cm Values of Modular Functions
Zagier proved that the traces of singular moduli, i.e., the sums of the values of the classical j-invariant over quadratic irrationalities, are the Fourier coefficients of a modular form of weight 3/2 with poles at the cusps. Using the theta correspondence, we generalize this result to traces of CM values of (weakly holomorphic) modular functions on modular curves of arbitrary genus. We also st...
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ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2013
ISSN: 0208-6573
DOI: 10.7169/facm/2013.49.2.2