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

• Autorzy: C. L. Stewart , R. Tijdeman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 79
• Numer: 1
• Strony: 93-101

Daty

wydano

1997

otrzymano

1996-06-30

Twórcy

autor

C. L. Stewart

• Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

autor

R. Tijdeman

• Mathematical Institute, R.U. Leiden, 2333 CA Leiden, The Netherlands

Bibliografia

• [1] J.-H. Evertse, On sums of S-units and linear recurrences, Compositio Math. 53 (1984), 225-244.
• [2] K. Győry, personal communication.
• [3] K. Győry, A. Sárközy and C. L. Stewart, On the number of prime factors of integers of the form ab + 1, Acta Arith. 74 (1996), 365-385.
• [4] A. J. van der Poorten and H. P. Schlickewei, The growth conditions for recurrence sequences, Macquarie Univ. Math. Rep. 82-0041, North Ryde, Australia, 1982.
• [5] A. J. van der Poorten and H. P. Schlickewei, Additive relations in fields, J. Austral. Math. Soc. (A) 51 (1991), 154-170.
• [6] H. P. Schlickewei, The p-adic Thue-Siegel-Roth-Schmidt Theorem, Arch. Math. (Basel) 29 (1977), 267-270.
• [7] M. Waldschmidt, Minorations de combinaisons linéaires de logarithmes de nombres algébriques, Canad. J. Math. 45 (1993), 176-224.