Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-05-18T09:52:11.887Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Formal Theta Functions of Countably Many Variables

Published online by Cambridge University Press:  22 January 2016

Kenichi Tahara
Kenichi Tahara*
Affiliation:
Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In the previous paper [6] we have shown the examples of hyperelliptic Riemann surfaces of infinite genus such that the Riemann’s theta functions associated with them are absolutely convergent.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 33 , November 1968 , pp. 173 - 194
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

[1] Bellman, R., A brief introduction to theta functions, New York, 1961.Google Scholar
[2] Krazer, A., Lehrbuch der Thetafunktionen, Leipzig, 1903.Google Scholar
[3] Morikawa, H., On the explicite defining relations of abelian schemes of level three, Nagoya Math. J., Vol. 27 (1966), p. 143–157.CrossRefGoogle Scholar
[4] Morikawa, H., On the defining equations of abelian varieties, Nagoya Math. J., Vol. 30 (1967), p. 143–162.CrossRefGoogle Scholar
[5] Mumford, D., On the equations defining abelian varieties, I, II, III, Inv. Math., Vol. 1 (1966) p. 287–354, Vol. 3 (1967) p. 75–135, p. 215–244.CrossRefGoogle Scholar
[6] Tahara, K., On the hyperelliptic Riemann surfaces of infinite genus with absolutely convergent Riemann’s theta functions, (to appear in Nagoya Math. J.)Google Scholar
[7] Whittaker, E.T. and Watson, G.N., A course of modern analysis, (fourth edition) Cambridge, 1958.Google Scholar