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An elliptic analogue of the multiple Dedekind sums. (English) Zbl 0838.11029
D. Zagier [Math. Ann. 202, 149-172 (1973; Zbl 0246.10023)] introduced higher order Dedekind sums in terms of multiple cotangent sums. This paper uses an elliptic function in place of the cotangent function and obtains a corresponding reciprocity law. Some of Zagier’s results are deduced as limiting cases of the elliptic analogue.

##### MSC:
 11F20 Dedekind eta function, Dedekind sums 33E05 Elliptic functions and integrals
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##### References:
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