Higher Dimensional Dedekind Sums
نویسنده
چکیده
In this paper we will study the number-theoretical properties of the expression v1 nkal rcka,, d(p; a I . . . . . an) = ( 1) n/2 ~ cot cot (1) k=l P P and of related finite trigonometric sums. In Eq. (I), p is a positive integer, a~ . . . . . a, are integers prime to p, and n is even (for n odd the sum is clearly equal to zero). There are two reasons for being interested in sums of this type. First of all, the case n = 2 is, up to a factor, the classical Dedekind sum:
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تاریخ انتشار 2005