Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-05-24T10:24:16.777Z Has data issue: false hasContentIssue false

On a Classical Theta-Function

Published online by Cambridge University Press:  22 January 2016

Tomio Kubota*
Affiliation:
Mathematical Institute, 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.

The purpose of this paper is to get a certain explicit expression of automorphic factors, formulated rather differently than usual, of the classically well known theta function

(1)

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Hasse, H., Allgemeine Theorie der Gaussschen Summen in algebraischen Zahlkörpern, Abh. Deutsch. Akad. d. Wiss. zu Berlin, Math-Naturw. Klasse, 1951.Google Scholar
[2] Hecke, E., Vorlesungen über die Theorie der algebraischen Zahlen, Leipzig, 1923.Google Scholar
[3] Hermite, C., Sur quelques formules relatives à la transformation des fonctions elliptiques, Oeuvres I (1905), 487496.Google Scholar
[4] Kubota, T., Ein arithmetischer Satz über eine Matrizengruppe, J. reine angew. Math. 222 (1966), 5557.Google Scholar
[5] Kubota, T., Topological covering of SL(2) over a local field, J. Math. Soc. Japan 19 (1967), 114121.Google Scholar
[6] Weil, A., Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143211.Google Scholar