Apostol, Tom M. and Vu, Thiennu H. (1982) Elementary proofs of Berndt's reciprocity laws. Pacific Journal of Mathematics, 98 (1). pp. 17-23. ISSN 0030-8730 http://resolver.caltech.edu/CaltechAUTHORS:APOpjm82
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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.
| Item Type: | Article |
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| Additional Information: | Euclid Identifier: euclid.pjm/1102734381 Zentralblatt Math Identifier : 0479.10010 Mathmatical Reviews number (MathSciNet): MR644934 |
| Record Number: | CaltechAUTHORS:APOpjm82 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:APOpjm82 |
| Alternative URL: | http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.pjm/1102734381 |
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| ID Code: | 543 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 14 Jul 2005 |
| Last Modified: | 26 Dec 2012 08:40 |
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