A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity (Q5939698)
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scientific article; zbMATH DE number 1626600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity |
scientific article; zbMATH DE number 1626600 |
Statements
A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity (English)
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30 July 2001
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Sums analogous to Dedekind sums occur in transformation formulas for logarithms of classical theta functions. The author finds a new reciprocity law for one of these sums and applies it to prove the quadratic reciprocity law.
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theta functions
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reciprocity law
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