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Published 1982 | Published
Journal Article Open

Elementary proofs of Berndt's reciprocity laws

Abstract

Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmetical sums analogous to Dedekind sums. This paper gives elementary proofs of all three reciprocity laws and obtains them all from a common source, a polynomial reciprocity formula of L. Carlitz.

Additional Information

Euclid Identifier: euclid.pjm/1102734381

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Created:
August 22, 2023
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October 13, 2023