The paper proves the finiteness of Markov pairs of numbers which are S-units. This amounts to a special case of integral points on the complement in P_2 of a conic + two lines, and confirms Vojta's conjecture for that case.
On the greatest prime factor of Markov pairs. Rend. Sem. Mat. Univ. Padova 116 (2006), 253--260
ZANNIER, UMBERTO;
2006
Abstract
The paper proves the finiteness of Markov pairs of numbers which are S-units. This amounts to a special case of integral points on the complement in P_2 of a conic + two lines, and confirms Vojta's conjecture for that case.File in questo prodotto:
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