KNOPP-TYPE IDENTITIES FOR GENERALIZED MULTIPLE DEDEKIND-TYPE SUMS

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  • KOZUKA Kazuhito
    Department of Mathematics Miyakonojo National College of Technology

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説明

In this paper, for any multivariable function with a periodicity and a certain distribution relation, we define a multiple Dedekind-type sum. Then by a combinatorialgeometric method, we study generalizations of Knopp's formula for the classical Dedekind sums. The main theorem contains many of the preceding results concerning generalizations of Knopp's formula.

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  • 九州数学雑誌

    九州数学雑誌 68 (2), 405-419, 2014

    九州大学大学院数理学研究院

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