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

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- by Tonghai Yang PDF
- Proc. Amer. Math. Soc.
**126**(1998), 999-1004 Request permission

## 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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## Additional Information

**Tonghai Yang**- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- MR Author ID: 606823
- Email: thyang@math.lsa.umich.edu
- Received by editor(s): September 27, 1996
- Additional Notes: The author was partially supported by NSF grant DMS-9304580
- Communicated by: William W. Adams
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**126**(1998), 999-1004 - MSC (1991): Primary 11F27, 11F67, 11M06
- DOI: https://doi.org/10.1090/S0002-9939-98-04213-0
- MathSciNet review: 1443174