JP Journal of Algebra, Number Theory and Applications
Volume 46, Issue 1, Pages 35 - 54
(April 2020) http://dx.doi.org/10.17654/NT046010035 |
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SOME ARITHMETIC PROPERTIES OF AN ELLIPTIC DEDEKIND SUM
Genki Shibukawa
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Abstract: 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. |
Keywords and phrases: elliptic functions, modular functions, Dedekind sums, reciprocity laws.
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