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Elementary proofs of Berndt's reciprocity laws

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.

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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.

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Deposited On:14 Jul 2005
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