Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ANALYTIC CONTINUATION OF GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES

  • Received : 2013.07.04
  • Accepted : 2013.08.07
  • Published : 2013.09.30
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Abstract

B. C. Berndt computed the Fourier series of a class of generalized Eisenstein series, which gives an analytic continuation to the generalized Eisenstein series. In this paper, continuing his work, we consider generalized non-holomorphic Eisenstein series and give an analytic continuation to the $s$-plane.

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References

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  2. ON SOME SERIES IDENTITIES vol.38, pp.3, 2016, https://doi.org/10.5831/HMJ.2016.38.3.479
  3. INFINITE SERIES IDENTITIES WHICH STEM FROM GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES vol.32, pp.4, 2013, https://doi.org/10.14403/jcms.2019.32.4.421