释义 |
Dedekind SumGiven 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 andLet , , , 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. |