Published 1982
| Published
Journal Article
Open
Elementary proofs of Berndt's reciprocity laws
- Creators
- Apostol, Tom M.
- Vu, Thiennu H.
Chicago
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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/1102734381Attached Files
Published - APOpjm82.pdf
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APOpjm82.pdf
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Additional details
- Eprint ID
- 543
- Resolver ID
- CaltechAUTHORS:APOpjm82
- Created
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2005-07-14Created from EPrint's datestamp field
- Updated
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2020-11-24Created from EPrint's last_modified field