# COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS

@inproceedings{Harris2007COHOMOLOGICALAF, title={COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS}, author={Michael Harris}, year={2007} }

This is the fourth in a series of articles devoted to the study of special values of L-functions of automorphic forms contributing to the cohomology of Shimura varieties attached to unitary groups, for the most part those attached to hermitian vector spaces over an imaginary quadratic field K. Since these L-functions are all supposed to be motivic, all their values at integer points are conjectured to be arithmetically meaningful. For the finite set of integer points which are critical in the…

## 24 Citations

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In 1980s, Gross–Zagier [GZ86] established a formula that relates the Neron–Tate height of Heegner points on modular curves to the central derivative of certain L-functions associated to modular…

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