Sur l’impossibilité, en nombres entiers, de l’équation x m = y 2 + I

Lebesgue

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale (1850)

  • Volume: 9, page 178-181
  • ISSN: 1764-7908

How to cite

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Lebesgue. "Sur l’impossibilité, en nombres entiers, de l’équation $x^m=y^2+I$." Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale 9 (1850): 178-181. <http://eudml.org/doc/96100>.

@article{Lebesgue1850,
author = {Lebesgue},
journal = {Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale},
language = {fre},
pages = {178-181},
publisher = {Bachelier},
title = {Sur l’impossibilité, en nombres entiers, de l’équation $x^m=y^2+I$},
url = {http://eudml.org/doc/96100},
volume = {9},
year = {1850},
}

TY - JOUR
AU - Lebesgue
TI - Sur l’impossibilité, en nombres entiers, de l’équation $x^m=y^2+I$
JO - Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
PY - 1850
PB - Bachelier
VL - 9
SP - 178
EP - 181
LA - fre
UR - http://eudml.org/doc/96100
ER -

Citations in EuDML Documents

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  1. J. Garza, M. I. M. Ishak, M. J. Mossinghoff, C. G. Pinner, B. Wiles, Heights of roots of polynomials with odd coefficients
  2. Maohua Le, A note on the integer solutions ofhyperelliptic equations
  3. Maohua Le, A note on the number of solutions of the generalized Ramanujan-Nagell equation x ² - D = k n
  4. Yann Bugeaud, Maurice Mignotte, Catalanova domněnka dokázána
  5. Susil Kumar Jena, Method of infinite ascent applied on - ( 2 p · A 6 ) + B 3 = C 2
  6. Yuri F. Bilu, Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)
  7. Yuri F. Bilu, Catalan’s conjecture
  8. Robert Tijdeman, Some applications of Baker's sharpened bounds to diophantine equations
  9. J. H. E. Cohn, The diophantine equation x² + C = yⁿ
  10. István Pink, Zsolt Rábai, On the diophantine equation x 2 + 5 k 17 l = y n

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