A note on Jeśmanowicz' conjecture

Maohua Le

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 47-51
  • ISSN: 0010-1354

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Le, Maohua. "A note on Jeśmanowicz' conjecture." Colloquium Mathematicae 69.1 (1996): 47-51. <http://eudml.org/doc/210325>.

@article{Le1996,
author = {Le, Maohua},
journal = {Colloquium Mathematicae},
keywords = {exponential diophantine equations; Jeśmanowicz conjecture},
language = {eng},
number = {1},
pages = {47-51},
title = {A note on Jeśmanowicz' conjecture},
url = {http://eudml.org/doc/210325},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Le, Maohua
TI - A note on Jeśmanowicz' conjecture
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 47
EP - 51
LA - eng
KW - exponential diophantine equations; Jeśmanowicz conjecture
UR - http://eudml.org/doc/210325
ER -

References

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  1. [1] R. Apéry, Sur une équation diophantienne, C. R. Acad. Sci. Paris Sér. I Math. 251 (1960), 1451-1452. Zbl0093.04703
  2. [2] J.-R. Chen, On Jeśmanowicz' conjecture, J. Sichuan Univ. Nat. Sci. 1962 (2), 19-25 (in Chinese). 
  3. [3] V. A. Dem'yanenko, On Jeśmanowicz' problem for Pythagorean numbers, Izv. Vyssh. Uchebn. Zaved. Mat. 1965 (5), 52-56 (in Russian). 
  4. [4] A. Grytczuk and A. Grelak, On the equation a x + b y = c z , Comment. Math. Prace Mat. 24 (1984), 269-275. Zbl0571.10017
  5. [5] L.-K. Hua, Introduction to Number Theory, Springer, Berlin, 1982. 
  6. [6] L. Jeśmanowicz, Several remarks on Pythagorean numbers, Wiadom. Mat. (2) 1 (1955/1956), 196-202 (in Polish). 
  7. [7] T. Józefiak, On a conjecture of L. Jeśmanowicz concerning Pythagorean numbers, Comment. Math. Prace Mat. 5 (1961), 119-123 (in Polish). Zbl0111.25003
  8. [8] Z. Ke, On Pythagorean numbers, J. Sichuan Univ. Nat. Sci. 1958 (1), 73-80 (in Chinese). 
  9. [9] Z. Ke, On Jeśmanowicz' conjecture, ibid. 1958 (2), 81-90 (in Chinese). 
  10. [10] Z. Ke, On the diophantine equation ( 2 n + 1 ) x + ( 2 n ( n + 1 ) ) y = ( 2 n ( n + 1 ) + 1 ) z , ibid. 1959 (3), 25-34 (in Chinese). 
  11. [11] Z. Ke and Q. Sun, On Pythagorean numbers 2 n + 1 , 2 n ( n + 1 ) and 2 n ( n + 1 ) + 1 , ibid. 1964 (2), 1-12 (in Chinese). 
  12. [12] W.-D. Lu, On the Pythagorean numbers 4 n 2 - 1 , 4 n and 4 n 2 + 1 , ibid. 1959 (2), 39-42 (in Chinese). 
  13. [13] L. J. Mordell, Diophantine Equations, Academic Press, London, 1969. 
  14. [14] V. D. Podsypanin, On a property of Pythagorean numbers, Izv. Vyssh. Uchebn. Zaved. Mat. 1962 (4), 130-133 (in Russian). Zbl0353.10018
  15. [15] D.-M. Rao, A note on the diophantine equation ( 2 n + 1 ) x + ( 2 n ( n + 1 ) ) y = ( 2 n ( n + 1 ) + 1 ) z , J. Sichuan Univ. Nat. Sci. 1960 (1), 79-80 (in Chinese). 
  16. [16] W. Sierpiński, On the equation 3 x + 4 y = 5 z , Wiadom. Mat. (2) 1 (1955/1956), 194-195 (in Polish). Zbl0074.27204

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