Multiple Dedekind sums attached to Dirichlet characters
Kazuhito Kozuka
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 83, Number 7
(2007), 104-108.
Abstract
We study many-term relations for multiple Dedekind sums including the case generalized by means of Dirichlet characters. We mainly use the method due to Carlitz. The main results contain the original reciprocity formula for Dedekind sums and its generalized formulas due to Apostol, Snyder and Carlitz.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1200672009
Mathematical Reviews number (MathSciNet): MR2361420
Digital Object Identifier: doi:10.3792/pjaa.83.104
Zentralblatt MATH identifier: 05309644
References
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Mathematical Reviews (MathSciNet): MR34781
Digital Object Identifier: doi:10.1215/S0012-7094-50-01716-9
Project Euclid: euclid.dmj/1077476005
Zentralblatt MATH: 0039.03801
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Mathematical Reviews (MathSciNet): MR56019
Project Euclid: euclid.pjm/1103051325
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Mathematical Reviews (MathSciNet): MR56020
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Digital Object Identifier: doi:10.1215/S0012-7094-54-02141-9
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Proceedings of the Japan Academy, Series A, Mathematical Sciences
