@article{bwmeta1.element.bwnjournal-article-aav83i4p381bwm, author = {Yu. V. Nesterenko and T. N. Shorey}, title = {On an equation of Goormaghtigh}, journal = {Acta Arithmetica}, volume = {84}, year = {1998}, pages = {381-389}, zbl = {0896.11010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav83i4p381bwm} }
Yu. V. Nesterenko; T. N. Shorey. On an equation of Goormaghtigh. Acta Arithmetica, Tome 84 (1998) pp. 381-389. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav83i4p381bwm/
[000] [1] A. Baker and G. Wüstholz, Logarithmic forms and group varieties, J. Reine Angew. Math. 442 (1993), 19-62. | Zbl 0788.11026
[001] [2] R. Balasubramanian and T. N. Shorey, On the equation , Math. Scand. 46 (1980), 177-182. | Zbl 0425.10020
[002] [3] H. Davenport, D. J. Lewis and A. Schinzel, Equations of the form f(x) = g(y), Quart. J. Math. Oxford Ser. (2) 12 (1961), 304-312. | Zbl 0121.28403
[003] [4] R. Goormaghtigh, L'Intermédiaire des Mathématiciens 24 (1917), 88.
[004] [5] T. Nagell, The diophantine equation , Ark. Mat. 4 (1961), 185-187. | Zbl 0103.03001
[005] [6] S. Ramanujan, Question 464, J. Indian Math. Soc. 5 (1913), Collected Papers, Cambridge Univ. Press, 1927, 327.
[006] [7] C. Runge, Ueber ganzzahlige Los̈ungen von Gleichungen zwischen zwei Veränderlichen, J. Reine Angew. Math. 100 (1887), 425-435.
[007] [8] N. Saradha and T. N. Shorey, On the equation (x+1)...(x+k) = (y+1)...(y+mk), Indag. Math. (N.S.) 3 (1992), 79-90. | Zbl 0757.11011
[008] [9] T. N. Shorey, On the equation (II), Hardy-Ramanujan J. 7 (1984), 1-10. | Zbl 0575.10011
[009] [10] T. N. Shorey, Integers with identical digits, Acta Arith. 53 (1989), 187-205. | Zbl 0693.10008
[010] [11] T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge Tracts in Math. 87, Cambridge Univ. Press, 1986. | Zbl 0606.10011
[011] [12] C. L. Siegel, Ueber einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss. Phys.-Math. Kl. 1 (1929), 70 pp. | Zbl 56.0180.05