no. 1
Perfect powers in arithmetical progression (II)
Compositio Mathematica, Tome 82 (1992) no. 1, pp. 107-117 
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}
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Shorey, T. N.; Tijdeman, R. Perfect powers in arithmetical progression (II). Compositio Mathematica, Tome 82 (1992) no. 1, pp. 107-117. https://www.numdam.org/item/CM_1992__82_1_107_0/

1 A. Baker, A sharpening of the bounds for linear forms in logarithms I, Acta Arith. 21, 117-129 (1972). | Zbl | MR

2 P. Dénes, Über die Diophantische Gleichung xl + yl = czl, Acta Math. 88, 241-251 (1952). | Zbl | MR

3 P. Erdös, Note on the product of consecutive integers (II), J. London Math. Soc. 14, 245-249 (1939). | Zbl | MR | JFM

4 J.-H. Evertse, On the equation axn - byn = c, Compositio Math. 47, 289-315 (1982). | Zbl | MR | Numdam

5 G. Faltings, Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math. 71, 349-366 (1983). | Zbl | MR

6 N.I. Feldman, An effective sharpening of the exponent in Liouville's theorem (Russian), Izv. Akad. Nauk SSSR Ser. mat. 35, 973-990 (1971, English trans.: Math. USSR Izv. 5, 985-1002. | Zbl | MR

7 J. Mueller, Counting solutions of |axr - byr| ≤ h, Quart. J. Math. Oxford (2), 38, 503-513 (1987). | Zbl

8 L.J. Mordell, Diophantine Equations, Academic Press, London (1969). | Zbl | MR

9 T.N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge Tracts in Mathematics 87 (1986). | Zbl | MR

10 T.N. Shorey and R. Tijdeman, Perfect powers in arithmetical progression, J. Madras Univ., Section B, 51, 173-180 (1988).

11 T.N. Shorey and R. Tijdeman, Perfect powers in products of terms in an arithmetical progression, Comp. Math. 75, 307-344 (1990). | Zbl | MR | Numdam

12 W. Wei, On the least prime in an arithmetic progression, Acta Math. Sinica 29, 826-836 (1986) | Zbl | MR