Taylor expansion of an Eisenstein series
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- by Tonghai Yang PDF
- Trans. Amer. Math. Soc. 355 (2003), 2663-2674 Request permission
Abstract:
In this paper, we give an explicit formula for the first two terms of the Taylor expansion of a classical Eisenstein series of weight $2k+1$ for $\Gamma _{0}(q)$. Both the first term and the second term have interesting arithmetic interpretations. We apply the result to compute the central derivative of some Hecke $L$-functions.References
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Additional Information
- Tonghai Yang
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 606823
- Email: thyang@math.wisc.edu
- Received by editor(s): September 9, 2002
- Published electronically: February 27, 2003
- Additional Notes: Partially supported by an AMS Centennial fellowship and NSF grant DMS-0070476.
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 2663-2674
- MSC (2000): Primary 11G05, 11M20, 14H52
- DOI: https://doi.org/10.1090/S0002-9947-03-03194-5
- MathSciNet review: 1975394