On the diophantine equation x 2 p + y 2 p = z p

A. Rotkiewicz

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 1, page 15-19
  • ISSN: 0010-1354

How to cite

top

Rotkiewicz, A.. "On the diophantine equation $x^{2p} + y^{2p} = z^p$." Colloquium Mathematicae 62.1 (1991): 15-19. <http://eudml.org/doc/210091>.

@article{Rotkiewicz1991,
author = {Rotkiewicz, A.},
journal = {Colloquium Mathematicae},
keywords = {Fermat type equation; congruences; diophantine equation},
language = {eng},
number = {1},
pages = {15-19},
title = {On the diophantine equation $x^\{2p\} + y^\{2p\} = z^p$},
url = {http://eudml.org/doc/210091},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Rotkiewicz, A.
TI - On the diophantine equation $x^{2p} + y^{2p} = z^p$
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 1
SP - 15
EP - 19
LA - eng
KW - Fermat type equation; congruences; diophantine equation
UR - http://eudml.org/doc/210091
ER -

References

top
  1. [1] B. Brindza, K. Györy and R. Tijdeman, The Fermat equation with polynomial values as base variables, Invent. Math. 80 (1985), 139-151. Zbl0543.10018
  2. [2] Chao Ko, Acta Sci. Natur. Univ. Szechuanensis 2 (1960), 57-64. 
  3. [3] Chao Ko, On the diophantine equation x 2 = y n + 1 , xy ≠ 0, Sci. Sinica Ser. A 14 (1965), 457-460. 
  4. [4] K. Inkeri, Abschätzungen für eventuelle Lösungen der Gleichung im Fermatschen Problem, Ann. Univ. Turku. Ser. A I 16 (1953), 9 pp. Zbl0051.28003
  5. [5] K. Inkeri and A. J. van der Poorten, Some remarks on Fermat's conjecture, Acta Arith. 36 (1980), 107-111. Zbl0348.10012
  6. [6] E. Landau, Vorlesungen über Zahlentheorie, Bd. III, Leipzig 1927; reprint Chelsea, 1974. 
  7. [7] P. Ribenboim, 13 Lectures on Fermat's Last Theorem, Springer, New York 1979. 
  8. [8] A. Rotkiewicz, Une remarque sur le dernier théorème de Fermat, Mathesis 69(1960), 135-140. Zbl0158.29601
  9. [9] A. Rotkiewicz, On Fermat's equation with exponent 2p, Colloq. Math. 45 (1981), 101-102. Zbl0483.10017
  10. [10] A. Rotkiewicz, On the equation x p + y p = z 2 , Bull. Acad. Polon. Sci. Sér. Sci. Math. 30 (1982), 211-214. Zbl0484.10011
  11. [11] A. Rotkiewicz and A. Schinzel, On the diophantine equation x p + y 2 p = z p , Colloq. Math. 53 (1987), 147-153. 
  12. [12] T. N. Shorey and R. Tijdeman, Exponential diophantine equations, Cambridge University Press, 1981. Zbl0606.10011
  13. [13] G. Terjanian, Sur l’équation x 2 p + y 2 p = z 2 p , C. R. Acad. Sci. Paris Sér. A-B 285 (1977), 973-975. Zbl0373.10012
  14. [14] G. Terjanian, L’équation x p - y 2 p = a z 2 et le théorème de Fermat, Séminaire de théorie des nombres de Bordeaux, Année 1977-1978, exposé no. 29. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.