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Dedekind sums and quadratic residue symbols

Published online by Cambridge University Press:  22 January 2016

Hiroshi Ito
Hiroshi Ito*
Affiliation:
The Institute for Advanced Study, Princeton, NJ 08540, USA, and Nagoya University, Chikusa-ku, Nagoya, 464, Japan
*
Department of Mathematics, College of Arts and Sciences, University of Tokyo, Tokyo 153, Japan
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In this paper we first prove a simple relation between sums of a certain type and quadratic residue symbols. Then we apply this to Dedekind sums introduced by Sczech [5]. In particular one of his conjectures in [6] will be proved.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 118 , June 1990 , pp. 35 - 43
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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