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Analytische Klassenzahlformeln

In: Number Theory and Analysis

Author

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  • M. Deuring

Abstract

In Band 5 der Acta Arithmetica wurde von K. G. Ramanathan eine Formel von C. L. Siegel, eine Art Fourierentwicklung der Diskriminante eines algebraischen Zahlkörpers1), wieder aufgegriffen2), um sie neu zu beweisen und zu verallgemeinern, insbesondere auf nichtkommunative Algebren über Zahlkörpern. Im folgenden soll gezeigt werden, wie der Ansatz von Siegel und Ramanathan zu Entwicklungen der Klassenzahl eines algebraischen Zahlkörpers in Reihen führt, die nach den ganzen Idealen des Körpers fortschreiten.

Suggested Citation

  • M. Deuring, 1969. "Analytische Klassenzahlformeln," Springer Books, in: Paul Turán (ed.), Number Theory and Analysis, pages 55-75, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-4819-5_5
    DOI: 10.1007/978-1-4615-4819-5_5
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