The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL(2, R)

Author:

Asai Tetsuya

Abstract

By explicit studying on theta-multipliers (i.e. the multipliers which appear in theta-transformation formulas under general modular substitutions), we can naturally get the reciprocity law of Gauss sums or quadratic residue symbols. This remarkable fact, by Cauchy, Kronecker, Hecke and others, is very classical, but its theoretical meaning has not been sufficiently clear yet.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

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4. Topological covering of $SL(2)$ over a local field

5. Zur Theorie der Modulfunktionen;Rademacher;J.f.d. reine u. angew. Math.,1931

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