Common Zeros of Theta Functions and Central Hecke L-values of Cm Number Fields of Degree 4
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چکیده
In this note, we apply the method of Rodriguez Villegas and Yang (1996) to construct a family of infinite many theta series over the HilbertBlumenthal modular surfaces with a common zero. We also relate the nonvanishing of the central L-values of certain Hecke characters of non-biquadratic CM number fields of degree 4 to the nonvanishing of theta functions at CM points in the Hilbert-Blumenthal modular surfaces.
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تاریخ انتشار 1998