Catalan's conjecture proved

Yann Bugeaud; Maurice Mignotte

Pokroky matematiky, fyziky a astronomie (2005)

  • Volume: 50, Issue: 4, page 280-285
  • ISSN: 0032-2423

How to cite

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Bugeaud, Yann, and Mignotte, Maurice. "Catalanova domněnka dokázána." Pokroky matematiky, fyziky a astronomie 50.4 (2005): 280-285. <http://eudml.org/doc/196720>.

@article{Bugeaud2005,
author = {Bugeaud, Yann, Mignotte, Maurice},
journal = {Pokroky matematiky, fyziky a astronomie},
language = {cze},
number = {4},
pages = {280-285},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Catalanova domněnka dokázána},
url = {http://eudml.org/doc/196720},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Bugeaud, Yann
AU - Mignotte, Maurice
TI - Catalanova domněnka dokázána
JO - Pokroky matematiky, fyziky a astronomie
PY - 2005
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 50
IS - 4
SP - 280
EP - 285
LA - cze
UR - http://eudml.org/doc/196720
ER -

References

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  1. Bilu, Yu., Catalan’ conjecture (after Mihăilescu), Sém. Bourbaki, 55 ème année, 909, 2002/03, 24 s. (2002) 
  2. Bugeaud, Y., Hanrot, G., Un noveau critère pour l’équation de Catalan, Mathematika 47 (2000), 63–73. (2000) MR1924488
  3. Cassels, J. W. S., On the equation a x - b y = 1 , II, Proc. Cambridge Philos. Soc. 56 (1960), 97–103. (1960) Zbl0094.25702MR0114791
  4. Inkeri, K., On Catalan’s problem, Acta Arith. 9 (1964), 285–290. (1964) Zbl0127.27102MR0168518
  5. Inkeri, K., On Catalan’s conjecture, J. Number Theory 34 (1990), 142–152. (1990) Zbl0699.10029MR1042488
  6. Ko Chao, On the diophantine equation x 2 = y n + 1 , x y ≠ 0 , Sci. Sinica 14 (1965), 457–460. (1965) Zbl0163.04004MR0183684
  7. Langevin, M., Quelques applications de nouveaux résultats de van der Poorten, Sém. Delange-Pisot-Poitou, 1977/78, Paris, Exp. 4, 7 s. (1977) Zbl0354.10008MR0498426
  8. Lebesgue, V. A., Sur l’impossibilité en nombres entiers de l’équation x m = y 2 + 1 , Nouv. Ann. Math. 9 (1850), 178–181. (1850) 
  9. Metsänkylä, T., Catalan’s conjecture: another old Diophantine problem solved, Bull. Amer. Math. Soc. (N. S.) 41 (2004), 43–57. (2004) Zbl1081.11021MR2015449
  10. Mignotte, M., A criterion on Catalan equation, J. Number Theory 52 (1995), 280–284. (1995) Zbl0829.11016MR1336750
  11. Mignotte, M., Catalan’s equation just before 2000, Number theory (Turku, 1999), 247–254, de Gruyter, Berlin 2001. (1999) Zbl1065.11019MR1822013
  12. Mihăilescu, P., A class number free criterion for Catalan’s conjecture, J. Number Theory 99 (2003), 225–231. (2003) Zbl1049.11036
  13. Mihăilescu, P., Primary cyclotomic units and a proof of Catalan’s conjecture, J. Reine Angew. Math. 572 (2004), 167–195. (2004) Zbl1067.11017MR2076124
  14. Ribenboim, P., Catalan’s conjecture, Academic Press, Boston 1994. (1994) Zbl0824.11010MR1259738
  15. Schwarz, W., A note on Catalan equation, Acta Arith. 72 (1995), 277–279. (1995) MR1347490
  16. Tijdeman, R., On the equation of Catalan, Acta Arith. 29 (1976), 197–209. (1976) Zbl0286.10013MR0404137

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