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arXiv · 2208.13060

Algebraic properties of the values of newform Dedekind sums

Mitch Majure
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Abstract

We study the image of a generalized Dedekind sum relating to the weight zero Eisenstein series $E_{χ_1,χ_2}$. We show that the image is a lattice of full rank inside a number field determined by the characters $χ_1$ and $χ_2$. We also give a generalization of Knopp's identity for the classical Dedekind sum.

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Mitch Majure. 2023-02-25. Algebraic properties of the values of newform Dedekind sums. https://arxiv.org/abs/2208.13060

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