@article{bwmeta1.element.bwnjournal-article-aav76i2p191bwm, author = {T. N. Shorey and Yu. V. Nesterenko}, title = {Perfect powers in products of integers from a block of consecutive integers (II)}, journal = {Acta Arithmetica}, volume = {76}, year = {1996}, pages = {191-198}, zbl = {0859.11025}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav76i2p191bwm} }
T. N. Shorey; Yu. V. Nesterenko. Perfect powers in products of integers from a block of consecutive integers (II). Acta Arithmetica, Tome 76 (1996) pp. 191-198. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav76i2p191bwm/
[000] [1] A. Baker, Rational approximations to ∛2 and other algebraic numbers, Quart. J. Math. Oxford Ser. (2) 15 (1964), 375-383. | Zbl 0222.10036
[001] [2] A. Baker, Simultaneous rational approximations to certain algebraic numbers, Proc. Cambridge Philos. Soc. 63 (1967), 693-702. | Zbl 0166.05503
[002] [3] A. Baker, The theory of linear forms in logarithms, in: Transcendence Theory: Advances and Applications, Academic Press, 1977, 1-27.
[003] [4] P. Erdős, On the product of consecutive integers III, Indag. Math. 17 (1955), 85-90. | Zbl 0068.03704
[004] [5] P. Erdős and J. L. Selfridge, The product of consecutive integers is never a power, Illinois J. Math. 19 (1975), 292-301. | Zbl 0295.10017
[005] [6] J. H. Loxton, M. Mignotte, A. J. van der Poorten and M. Waldschmidt, A lower bound for linear forms in the logarithms of algebraic numbers, C. R. Math. Rep. Acad. Sci. Canada 11 (1987), 119-124. | Zbl 0623.10023
[006] [7] T. N. Shorey, Perfect powers in values of certain polynomials at integer points, Math. Proc. Cambridge Philos. Soc. 99 (1986), 195-207. | Zbl 0598.10029
[007] [8] T. N. Shorey, Perfect powers in products of integers from a block of consecutive integers, Acta Arith. 49 (1987), 71-79. | Zbl 0582.10012