Abstract
H. Rademacher and E. Grosswald raised the following questions: \begin{enumerate} \item Is $\{ (a/c, d(a,c))\ |\ a/c\in\mathbb{Q}^*\}$ dense in $\mathbb{R}^2$? \item Is $\{ d(a,c)\ |\ a/c\in\mathbb{Q}^*\}$ dense in $\mathbb{R}$? \end{enumerate} D. Hickerson answered them affirmatively, and H. Ito obtained a result similar to Hickerson's for the elliptic Dedekind sums defined by R. Sczech. We consider the values of the Dedekind sum attached to a given $A$-lattice in rational function fields. The objective of this paper is to establish a result similar to those of Hickerson and Ito.
Citation
Yoshinori Hamahata. "Values of Dedekind sums for function fields." Funct. Approx. Comment. Math. 52 (1) 29 - 35, March 2015. https://doi.org/10.7169/facm/2015.52.1.2
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