Hecke Operators and Derivatives of L-Functions |
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| Authors: | Nikolaos Diamantis |
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| Affiliation: | (1) Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany |
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| Abstract: | In this paper, we introduce a new way of studying derivatives of L-functions of cusp forms by associating to them cocycles analogous, in function, to the period polynomial. The main result gives a description of the effect of Hecke operators on these cocycles. |
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| Keywords: | cusp forms L-functions derivatives cocycles periods period polynomial Eichler– Shimura relations Hecke operators |
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