Summary
The famous formula for the radius of convergence of a power series discovered by Cauchy in 1821 appears in notes by Riemann which were published by Neuenschwander in 1987. Up to now historians used to believe that the formula had passed unnoticed until 1892. The notes, written in 1856 when Riemann prepared his lectures on complex variables, also illustrate Riemann’s views on the significance of power series.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literatur
Bottazzini, U.: The higher calculus: a history of real and complex analysis from Euler to Weierstrass. Berlin Heidelberg New York: Springer 1986
Cauchy, A.L.: Cours d’analyse de l’Ecole royale polytechnique; 1re partie. Analyse algèbrique. Paris: De Bures (1821). Unveränderter Nachdruck, herausgegeben mit einer ausführlichen Einleitung von U. Bottazzini: Bologna: Editrice Clueb 1992
Neuenschwander, E.: Riemanns Vorlesungen zur Funktionentheorie. Allgemeiner Teil. Preprint Nr. 1086, Fachbereich Mathematik, Technische Hochschule Darmstadt (1987)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Laugwitz, D. Die Formel von Cauchy-Hadamard in Riemanns Nachlaß. Math. Semesterber. 40, 115–120 (1993). https://doi.org/10.1007/BF03186484
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF03186484