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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Special values of $ L$-series


Author: Rhonda L. Hatcher
Journal: Proc. Amer. Math. Soc. 114 (1992), 337-343
MSC: Primary 11F67; Secondary 11R52
MathSciNet review: 1068124
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Abstract: The main result of this paper is an equation representing the value of the Dirichlet series $ L(f,A,s)$ at $ s = k$ in terms of the height pairings of special points on a vector bundle $ V$ associated with the quaternion algebra over $ {\mathbf{Q}}$ ramified at $ N$ and $ \infty $.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1068124-1
PII: S 0002-9939(1992)1068124-1
Article copyright: © Copyright 1992 American Mathematical Society