Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-28T05:15:16.482Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

Extract

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

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

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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