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Gotthold Eisenstein

16 April 1823–11 October 1852

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Abstract

The early development and untimely death of a genius is a well-known theme in general (“Whom the gods love …”), and in musical biography in particular, with Mozart and Schubert as outstanding examples. But three geniuses among the nineteenth century mathematicians, whose lives were cut off all too soon, make Mozart’s death at close to 37 years, and even Schubert’s at hardly less than 32 years, almost seem to have come at a reasonably mature age. The mathematicians are Evariste Galois — who lost his life at 20 in an absurd duel, Niels Henrik Abel — who succumbed to tuberculosis at age 26, and finally Gotthold Eisenstein, whose frail body held out exactly 1000 days longer than Abel’s, before giving in to the same disease.

Keywords

  • Elliptic Function
  • Algebraic Number Theory
  • Jacobian Variety
  • Fermat Curve
  • Power Residue

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Adler, A., Eisenstein and the Jacobian varieties of Fermat curves, Rocky Mountain Journal of Mathematics 27 (1997), 1–60.

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  3. Eisenstein, G., Mathematische Werke, 2 vols., Chelsea, 1975.

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  4. Klein, F., Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert, Teil I, Springer-Verlag, Berlin, 1926.

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  5. Roerdansz, A., Ein Freiheits-Martyrium, Gefangene Berliner auf dem Transport nach Spandau am Morgen des 19. März 1848, Protocollarische Aussagen und eigene Berichte der 91 Betheiligten, als Beitrag zur Geschichte des Berliner Märzkampfes gesammelt und herausgegeben von Adalbert Roerdansz, Berlin, 1848.

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  6. Weil, A., Elliptic functions according to Eisenstein and Kronecker, Ergeb. Math. 88, Springer-Verlag, Berlin, 1976.

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  7. Weil, A., On Eisenstein’s Copy of the Disquisitiones, in: Coates, J., Greenberg, R., Mazur, B., Satake, I. (eds.), Algebraic Number Theory — in honor of Kenkichi Iwasawa, Advanced Studies in Pure Mathematics 17, Academic Press, Princeton, 1989, 463–469.

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© 1998 Springer Basel AG

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Schappacher, N. (1998). Gotthold Eisenstein. In: Begehr, H., Koch, H., Kramer, J., Schappacher, N., Thiele, EJ. (eds) Mathematics in Berlin. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8787-8_7

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  • DOI: https://doi.org/10.1007/978-3-0348-8787-8_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-5943-0

  • Online ISBN: 978-3-0348-8787-8

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