Lower bounds for the greatest prime factor of a x m + b y n

Yann Bugeaud

Acta Mathematica et Informatica Universitatis Ostraviensis (1998)

  • Volume: 06, Issue: 1, page 53-57
  • ISSN: 1804-1388

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Bugeaud, Yann. "Lower bounds for the greatest prime factor of $ax^m+by^n$." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 53-57. <http://eudml.org/doc/23819>.

@article{Bugeaud1998,
author = {Bugeaud, Yann},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {greatest prime factor; binary form},
language = {eng},
number = {1},
pages = {53-57},
publisher = {University of Ostrava},
title = {Lower bounds for the greatest prime factor of $ax^m+by^n$},
url = {http://eudml.org/doc/23819},
volume = {06},
year = {1998},
}

TY - JOUR
AU - Bugeaud, Yann
TI - Lower bounds for the greatest prime factor of $ax^m+by^n$
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 53
EP - 57
LA - eng
KW - greatest prime factor; binary form
UR - http://eudml.org/doc/23819
ER -

References

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  3. Y. Bugeaud, On the greatest prime factor of a x m + b y n , In : Number Theory (ed. by K. Gyory, A. Peto and V. T. Sos), Walter de Gruyter, Berlin - New York (1998), 115-122. (1998) MR1628837
  4. Y. Bugeaud, 10.1016/S0764-4442(98)80026-8, C. R. Acad. Sci. Paris 326 (1998), 661-665. (1998) MR1641722DOI10.1016/S0764-4442(98)80026-8
  5. Y. Bugeaud, K. Gyory, Bounds for the solutions of unit equations, Acta Arith. 74 (1996), 67-80. (1996) MR1367579
  6. Y. Bugeaud, K. Gyory, Bounds for the solutions of Thue-Mahler equations and norm form equations, Acta Arith. 74 (1996), 273-292. (1996) MR1373714
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  10. S. V. Kotov, Ueber die maximale Norm der Idealteiler des Polynoms a x m + b y n mit den algebraischen Koeffizienten, Acta Arith. 31 (1976), 219-230. (1976) MR0427226
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  12. T. N. Shorey, On the greatest prime factor of ( a x m + b y n ) , Acta Arith. 36 (1980), 21-25. (1980) MR0576580
  13. T. N. Shorey A. J. van der Poorten R. Tijdeman, A. Schinzel, Applications of the Gelfond-Baker method to diophantine equations, Advances in transcendence theory, Academic Press, London and New-York 1977. (1977) 
  14. T. N. Shorey, R. Tijdeman, Exponential Diophantine Equations, Cambridge University Press, Cambridge, 1986. (1986) Zbl0606.10011MR0891406
  15. P. Voutier, 10.1017/S0305004197002223, Math. Proc. Cambridge Phil. Soc. 123 (1998), 407-419. (1998) MR1607969DOI10.1017/S0305004197002223
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  17. K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. Math. 3 (1892), 256-284. 

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