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Abhandlungen zur Zahlentheorie und Algebra

  • Georg Cantor

Zusammenfassung

Problema de quo in sequentibus agimus hoc est: aequationis homogeneae seeundi gradus F(X, Y, Z)= 0 solutiones omnes in numeris integris invenire. — Convenit problema cum illo: aequationis F(ξ, η, 1) = 0 omnes solutiones in numeris rationalibus invenire; — quod a Diophanti temporibus turn sagacitatem multorum mathematicorum ad disquisitionem elicuit, quum denique ab ill. Lagrange primum ita investigatum est, ut nihil dubitationis relinqueretur.

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Literatur

  1. 1.
    Histoire de l’Académie de Berlin 1767, 167.Google Scholar
  2. 2.
    Hist. de l’Académie de Paris 1784, 507; nec minus: Legendre: Théorie des nombres 1, 32 (1830).Google Scholar
  3. 1.
    C. F. Gauss Werke 1, 349. Göttingen 1863.Google Scholar
  4. 1.
    Man vergleiche noch Dirichlet: Über die Best. d. mittleren Werte usw. Abh. erl. Akad. 1849; ferner Dirichlet: Sur l’usage etc. Crelles J. Math. 18 u. Recherches etc. Crelles J.f. Math. 19 u. 21.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1932

Authors and Affiliations

  • Georg Cantor

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