An upper bound for the G.C.D. of an - 1 and bn -1

By Yann Bugeaud, Pietro Corvaja, Umberto Zannier. 2003

108 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/b92ef47814ae99af234a851ad7e469bffe8b5458

How researchers see this paper

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In Algebra and Number Theory

1. Joseph H. Silverman
2. Umberto Zannier
3. Pietro Corvaja
4. Jonathan Pila
5. Aaron Levin
6. Franccois Berteloot
7. P. Habegger
8. D. Masser

In Electrical and Electronic Engineering

1. Joseph H. Silverman
2. Pietro Corvaja
3. Umberto Zannier

Citations in the corpus

• A Lower Bound for the Height of a Rational Function at S-unit Points (2003, methodology): “bound X µ∈MK log− max{|u−1|µ,|v−1|µ} >−ǫ· max{h(u),h(v)}, (1.3) valid for all ǫand all multiplicatively independent pairs (u,v) ∈ Γ apart a finite set depending on ǫand Γ. Also, the main results of [1] and [6] are immediate consequences of this Corollary. Our most general result is the following M”
• Generalized Greatest Common Divisors, Divisibility Sequences, and Vojta’s Conjecture for Blowups (2004, methodology): “raic groups, and we apply Vojta’s conjecture to obtain a strong bound on the divisibility sequences attached to abelian varieties of dimension at least two. Introduction Bugeaud, Corvaja, and Zannier [2] recently proved that if a and b are multiplicatively independent integers, then for every ǫ >”