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The geometry of certain cocycles associated to derivatives of L-functions
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Nikolaos Diamantis
Published/Copyright:
September 9, 2005
Abstract
Motivated by Manin’s expression relating modular symbols to critical values of L-functions, Goldfeld and the author have constructed group cocycles which are related in an analogous way to values of derivatives of L-functions. In this note, we propose a geometric interpretation of these cocycles that is based on the cohomology of the non-compactified modular curve.
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Published Online: 2005-09-09
Published in Print: 2005-09-19
Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- Degree eleven projective manifolds of dimension greater than or equal to three
- The geometry of certain cocycles associated to derivatives of L-functions
- On the theory of nonlinear singular integral equations with shift in Hölder spaces
- Impulsive systems and behaviors in the theory of linear dynamical systems
- The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis
- The Bonnet Plancherel formula for normal monomial representations of exponential solvable Lie groups
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