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Dedekind Sums for a Fuchsian Group, I

Published online by Cambridge University Press:  22 January 2016

Larry Joel Goldstein
Larry Joel Goldstein*
Affiliation:
Department of Mathematics, University of Maryland
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The well-known first limit formula of Kronecker asserts that

where z = x + iy is contained in the complex upper halfplane H, C = the Euler-Mascheroni constant, and η(z) is the Dedekind eta-function defined by

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 50 , June 1973 , pp. 21 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

[1] Dedekind, R., Erlauterungen zu zw<ei Fragmenten von Riemann, Gessammelte Mathematische Werke I, pp. 159–173.Google Scholar
[2] Gunning, R., Lectures on Modular Forms, Princeton University Press, Princeton, 1960.Google Scholar
[3] Kubota, T., Elementary Theory of Eisenstein Series, (to appear).Google Scholar
[4] Siegel, C. L., Lectures on Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1961.Google Scholar
[5] Shimura, G., The Arithmetic Theory of Automorphic Functions, Princeton University Press, Princeton, 1971.Google Scholar