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On certain infinite products

Published online by Cambridge University Press:  26 February 2010

Masao Toyoizumi
Masao Toyoizumi
Affiliation:
Department of Mathematics, Toyo University, Kawagoe, Saitama 350, Japan
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Extract

Let η(z) be the Dedekind eta function defined by

where q = exp(2πiz) and Im (z) > 0. Then it is famous that

Information

Type
Research Article
Information
Mathematika , Volume 30 , Issue 1 , June 1983 , pp. 4 - 10
Copyright
Copyright © University College London 1983

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References

1.Hecke, E.. Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung. Math. Ann., 112 (1936), 664–699.Google Scholar
2.Ogg, A.. Modular forms and Dirichlet series (Benjamin, New York, 1969).Google Scholar
3.Weil, A.. Sur une formule classique. J. Math. Soc. Japan, 20 (1968), 400–402.Google Scholar