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. Zhenfu Cao, Xiaolei Dong, Diophantine equations and class number of imaginary quadratic fields
  3. Maohua Le, A note on the integer solutions ofhyperelliptic equations
  4. Maohua Le, A note on the number of solutions of the generalized Ramanujan-Nagell equation x ² - D = k n
  5. Yann Bugeaud, Maurice Mignotte, Catalanova domněnka dokázána
  6. Yuri F. Bilu, Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)
  7. Susil Kumar Jena, Method of infinite ascent applied on - ( 2 p · A 6 ) + B 3 = C 2
  8. Yuri F. Bilu, Catalan’s conjecture
  9. Robert Tijdeman, Some applications of Baker's sharpened bounds to diophantine equations
  10. J. H. E. Cohn, The diophantine equation x² + C = yⁿ

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