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Eisenstein cocycles over imaginary quadratic fields and special values of L-functions

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Wong,  Tian An
Max Planck Institute for Mathematics, Max Planck Society;

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arXiv:1611.08565.pdf
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Citation

Flórez, J., Karabulut, C., & Wong, T. A. (2019). Eisenstein cocycles over imaginary quadratic fields and special values of L-functions. Journal of Number Theory, 204, 497-531. doi:10.1016/j.jnt.2019.04.016.


Cite as: https://hdl.handle.net/21.11116/0000-0005-19B5-3
Abstract
We generalize Sczech's Eisenstein cocycle for GL(n) over totally real extensions of $\mathbb{Q}$ to finite extensions of an imaginary quadratic fields. By evaluating the cocycle on certain cycles, we parametrize complex values of Hecke L-functions
previously considered by Colmez, giving a cohomological interpretation of his algebraicity result on special values of the L-functions.