Displaying similar documents to “Small eigenvalues of Laplacian for Γ 0 ( N )

A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity

Jeffrey L. Meyer (2000)

Journal de théorie des nombres de Bordeaux

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In the transformation formulas for the logarithms of the classical theta-functions, certain sums arise that are analogous to the Dedekind sums in the transformation of the logarithm of the eta-function. A new reciprocity law is established for one of these analogous sums and then applied to prove the law of quadratic reciprocity.