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Research in Number Theory

, 4:36 | Cite as

Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers

  • Cormac O’Sullivan
Research
  • 42 Downloads

Abstract

New expressions are given for the Fourier expansions of non-holomorphic Eisenstein series with weight k. Among other applications, this leads to non-holomorphic analogs of formulas of Ramanujan, Grosswald and Berndt containing Eichler integrals of holomorphic Eisenstein series.

Mathematics Subject Classification

11F30 11F37 11M06 

Notes

Acknowledgements

Support for this project was provided by a PSC-CUNY Award, jointly funded by The Professional Staff Congress and The City University of New York.

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Copyright information

© SpringerNature 2018

Authors and Affiliations

  1. 1.Dept. of MathThe CUNY Graduate CenterNew YorkUSA

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