On binomial Thue-Mahler equations
Bugeaud, Yann ; Györy, Kálmán
HAL, hal-00085451 / Harvested from HAL
Text on HAL
We give a rather sharp upper bound for the degree of a binomial Thue--Mahler equation in terms of the coefficients and the primes involved. Further, we establish explicit lower bounds for the greatest prime factor of a binomial binary form at integral points. Our estimates considerably generalize and improve the earlier results obtained in this direction.
Publié le : 2004-07-05
Classification:  Thue-Mahler equation,  exponential equation,  greatest prime factor of binomial binary form,  11D59 11D61,  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00085451,
     author = {Bugeaud, Yann and Gy\"ory, K\'alm\'an},
     title = {On binomial Thue-Mahler equations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00085451}
}

Bugeaud, Yann; Györy, Kálmán. On binomial Thue-Mahler equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00085451/