On the greatest prime factor of (ab + 1)(ac + 1)

Proceedings of the American Mathematical Society

Volumn 131, Issue 6, 2003, Pages 1705-1709

  Corvaja, P ^a   Zannier, U ^b  

^a UNIVERSITY OF UDINE   (Italy)

^b UNIVERSITY IUAV OF VENICE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037725163     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-02-06771-0     Document Type: Conference Paper

References (9)

1. [B] Y. Bugeaud, On the greatest prime factor of (ab+1)(ac+l)(bc+l), Acta Arith. 86 (1998), 45-49. MR 99k:11141
2. n - 1, to appear in Math. Zeit.
3. [CZ] P. Corvaja, U. Zannier, Diophantine equations with power sums and universal Hilbert sets, Indagationes Math. 9 (1998), 317-332. MR 2000j:11045
4. [GS] K. Györy, A. Sarkozy, On prime factors of integers of the form (ab + 1)(ac + 1)(bc + 1), Acta Arith. 79 (1997). MR 98b:11030
5. [GSS] K. Györy, A. Sarkozy, C.L. Stewart, On the number of prime factors of integers of the form ab + 1, Acta Arith. 74 (1996). 365-385. MR 97c:11091
6. [L] S. Lang, Fundamentals of Diophantine Geometry, Springer-Verlag, 1983. MR 85j:11005
7. [S1] W.M. Schmidt, Diophantine Approximation, Springer-Verlag LNM 785, 1980. MR 81j:10038
8. [S2] W.M. Schmidt, Diophantine Approximations and Diophantine Equations, Springer-Verlag LNM 1467, 1991. MR 94f:11059
9. [ST] C.L. Stewart, R. Tijdeman, On the greatest prime factor of (ab + 1)(ac + 1)(bc + 1), Acta Arith. 79 (1997). MR 98f:11101