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- W3035351640 abstract "For primitive non-trivial Dirichlet characters $chi_1$ and $chi_2$, we study the weight zero newform Eisenstein series $E_{chi_1,chi_2}(z,s)$ at $s=1$. The holomorphic part of this function has a transformation rule that we express in finite terms as a generalized Dedekind sum. This gives rise to the explicit construction (in finite terms) of elements of $H^1(Gamma_0(N), mathbb{C})$. We also give a short proof of the reciprocity formula for this Dedekind sum." @default.
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- W3035351640 date "2020-08-21" @default.
- W3035351640 modified "2023-09-24" @default.
- W3035351640 title "Dedekind sums arising from newform Eisenstein series" @default.
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- W3035351640 doi "https://doi.org/10.1142/s1793042120501092" @default.
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