 About 2,060 results  books.google.com CRM Proceedings and Lecture Notes Volume 19, 1999 Liens entre le theoreme
de Mason et la conjecture (abc) Michel Langevin RESUME. L'inegalite de Mason
minorant le nombre de racines distinctes d'un produit AB(A + B) ou A et B sont ... 

 books.google.com Volume 561, 2012 http://dx.doi.org/10.1090/conm/561/11116 ABCtype estimates
via Garsiatype norms Konstantin M. Dyakonov Abstract. We are concerned with
extensions of the Mason–Stothers abc theorem from polynomials to analytic ... 

 books.google.com 1860 Maschke's Theorem through points B and C . This circle has center (3/ 2, v/
3/2) and radius 1. ... Mason's abc Theorem MASON'S THEOREM Mason's
Theorem Let there be three POLYNOMIALS a(x), b(x), and c(x) with no common
factors ... 

 books.google.com Hall made his conjecture in 1971, actually without the epsilon so it had to be
adjusted later. The final setting of the proofs in the simple abc context which we
gave above had to await Mason and the abc conjecture a decade later. Let us
return ... 

 books.google.com (1.9) By Mason's abctheorem for polynomials [4] (or see [3], for example) this
value 1/+ 1 is actually the smallest obtainable. It is important to the quality of the
results that the identities a + b I c employed should be optimal with respect to ... 

 books.google.com Graves, H., Ram Murty, M.: The abc conjecture and nonWieferich primes in
arithmetic progressions. J. Number Theory 133(6), ... Langevin, M.: Cas d'égalité
pour le théorčme de Mason et applications de la conjecture .abc/. C. R. Acad. Sci
. 

 books.google.com The abc conjecture was motivated in part by Mason's theorem, which is a
polynomial analogue of the abc conjecture (see Mason [97]), and in part by a
conjecture of Szpiro on the discriminants of elliptic curves (Lang [88]). According
to Oesterl ... 

 books.google.com From the equivalence between abc and generalized Szpiro, one can use the
examples given earlier to show that the epsilon is needed in the Szpiro
conjecture. Finally, note that the polynomial case of the MasonStothers theorem
and the ... 

 books.google.com Let a(t), b(t), c(t) be relatively prime polynomials not all constant such that a + b =
c. Then max deg{a, b, c} ^ n0(abc) — 1. Note that the lefthand side in Mason's
inequality is just the height h(a, b, c). In the statement of Mason's theorem,
observe ... 

 books.google.com José R. Correa, Alejandro Hevia, Marcos Kiwi  2006  Preview ... exponentially on the degree of Ak(X) so even a factor 2 saving in the degree
would be significant. But we will show that the degree needs to be 2k − 1. The
proof uses Mason's theorem which proves the ABCconjecture for polynomials [
18]. 

 