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The reciprocity theorem for Dedekind sums

The reciprocity theorem for Dedekind sums

L CARLITZ1. Introduction.Let ((x)) = x -[x] -1/2, where [x] denotes the greatest integer < x 9 and put (i.i) ΪU.*>-Σ lίτMτi the sumπtation extending over a complete residue system (modIn this note we shall give a simple proof of (1.2) which was suggested by Redei's proof [5].The method also …