“Dedekind Sum”的概念、定义、习题解题方法及翻译-数学辞典

单词

Dedekind Sum

释义

Dedekind Sum

Given Relatively Prime Integers and , the Dedekind sum is defined by

(1)

where

(2)

Dedekind sums obey 2-term

(3)

and 3-term

(4)

reciprocity laws, where

are pairwise Coprime and

Let

with

(i.e., are pairwise Relatively Prime), then the Dedekind sumsalso satisfy

(8)

where

, and

are any Integers such that

(Pommersheim 1993).

References

Pommersheim, J. ``Toric Varieties, Lattice Points, and Dedekind Sums.'' Math. Ann. 295, 1-24, 1993.

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