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Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers (1803.08210v2)
Published 22 Mar 2018 in math.NT
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.
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