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On the Hyperelliptic Riemann Surfaces of Infinite Genus with Absolutely Convergent Riemann’s Theta Functions

Published online by Cambridge University Press:  22 January 2016

Kenichi Tahara
Kenichi Tahara*
Affiliation:
Nagoya University
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Extract

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The Riemann’s theta functions associated with a closed Riemann surface are absolutely convergent. In the present paper, we shall show an example of an hyperelliptic Riemann surface of infinite genus such that the Riemann’s theta functions associated with are absolutely convergent.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 33 , November 1968 , pp. 57 - 73
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

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