SOME ARITHMETIC PROPERTIES OF AN ELLIPTIC DEDEKIND SUM
We give an explicit expression of the elliptic classical Dedekind sum which is a special case of multiple elliptic Dedekind sums introduced by Egami. We also determine the denominator of the rational part and zeros of the elliptic classical Dedekind sum.
elliptic functions, modular functions, Dedekind sums, reciprocity laws.
