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Original Articles

On the Diophantine Equation x(x+1)…(x+n-1)=yk*

Pages 280-289 | Published online: 11 Apr 2018

References

  • Liouville, Sur le produit m(m+1)… (m+n+1), Journal de Mathématiques (2), vol. 2, 1857, p. 277.
  • Tschebyscheff, Mémoire sur les nombres premiers, Journal de Mathématiques pures et appliqués, ser. 1, vol. 17, 1852, pp. 366–382.
  • Dickson, History of the Theory of Numbers, vol. 2, 1920, pp. 679–682.
  • Oblàth, Über Produkte aufeinander folgender Zahlen, Tohôku Mathematical Journal, vol. 38, 1933, pp. 73–92.
  • Sylvester, On arithmetical series, Messenger of Mathematics, new series, vol. 21, 1892, pp. 1–19.
  • Schur, Einige Sätze über Primzahlen mit Anwendung auf Irreduzibilitätsfragen, Sitzungsberichte der preuss. Acad. der Wiss., Phys.-Math. Kl., vol. 23, 1929, pp. 1–24.
  • Siegel, Die Gleichung axn—byn = c, Mathematische Annalen, vol. 114, 1937, pp. 57–68.
  • Erdös, Note on products of consecutive integers, Journal of the London Mathematical Society, vol. 14. 1939, pp. 194–198.
  • Erdös, Note on the product of consecutive integers, (II), Journal of the London Mathematical Society, vol. 14, 1939, pp. 245–249.

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