Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Common zeros of theta functions and central Hecke L-values of CM number fields of degree 4

Author(s): Tonghai Yang
Journal: Proc. Amer. Math. Soc. 126 (1998), 999-1004.
MSC (1991): Primary 11F27, 11F67, 11M06
MathSciNet review: 1443174
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Abstract: In this note, we apply the method of Rodriguez Villegas and Yang (1996) to construct a family of infinite many theta series over the Hilbert-Blumenthal modular surfaces with a common zero. We also relate the non-vanishing 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.

References:

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