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In mathematics, Dedekind sums are certain sums of products of a sawtooth function, and are given by a function ''D'' of three integer variables. Dedekind introduced them to express the functional equation of the Dedekind eta function. They have subsequently been much studied in number theory, and have occurred in some problems of topology. Dedekind sums obey a large number of relationships on themselves; this article lists only a tiny fraction of these. Dedekind sums were introduced by Richard Dedekind in a commentary on fragment XXVIII of Bernhard Riemann's collected papers. == Definition == Define the sawtooth function as : We then let :''D'' :Z3 → R be defined by : the terms on the right being the Dedekind sums. For the case ''a''=1, one often writes :''s''(''b'',''c'') = ''D''(1,''b'';''c''). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dedekind sum」の詳細全文を読む スポンサード リンク
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