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Original Article

On the Equation Y2 = X5 + k

Pages 371-374 | Published online: 30 Jan 2011

  • J. Blass. "On the Diophantine Equation Y 2+K = X5." Bull. Amer. Math. Soc. 80 (1974), 329.
  • J. W. S. Cassels and V. E. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, London Math. Soc. Lect. Notes 230. Cambridge: Cambridge University Press, 1996.
  • M. Mignotte and B. M. M. de Weger. "On the Diophantine Equations x 2 + 74 = y 5 and x 2 + 86 = y 5." Glasgow Math. J. 38:1 (1996), 77–85.
  • M. Stoll. "On the Number of Rational Squares at Fixed Distance from a Fifth Power." Acta Arith. 125:1 (2006), 79–88.
  • B. M. E. Wren. "y 2 +D = x 5." Eureka 36 (1973), 37–38.
  • J. Blass. "A Note on Diophantine Equation Y 2 + k = X 5." Math. Comp. 30:135 (1976), 638–640.
  • W. Bosma, J. Cannon, and C. Playoust. "The Magma Algebra System. I. The User Language." J. Symbolic Comput 24:3–4 (1997), 235–265.
  • A. Bremner and N. Tzanakis. "On the Equation Y 2 = X 6 + k." Preprint, 2006.
  • N. Bruin. "Some Ternary Diophantine Equations of Signature (n, n, 2)." In Discovering Mathematics with Magma, pp. 63–91, Algorithms Comput. Math. 19. Berlin: Springer 2006.

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