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# Documents  Zannier, Umberto | enregistrements trouvés : 4

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## Post-edited  A refinement of the abc conjecture Stewart, Cameron L. (Auteur de la Conférence) | CIRM (Editeur )

We shall discuss joint work with Robert and Tenenbaum on a proposed refinement of the well known abc conjecture.

## Multi angle  Generalized jacobians and Pellian polynomials Bertrand, Daniel (Auteur de la Conférence) | CIRM (Editeur )

A polynomial $D(t)$ is called Pellian if the ring generated over $C[t]$ by its square root has non constant units. By work of Masser and Zannier on the relative Manin-Mumford conjecture for jacobians, separable sextic polynomials are usually not Pellian. The same applies in the non-separable case, though some exceptional families occur, in relation to Ribet sections on generalized jacobians.

## Multi angle  Between interpolation and multiplicity estimates on commutative algebraic groups Fischler, Stéphane (Auteur de la Conférence) | CIRM (Editeur )

An interpolation estimate is a sufficient condition for the evaluation map to be surjective; it is dual to a multiplicity estimate, which deals with injectivity. Masser's first interpolation estimate on commutative algebraic groups can be generalized, and made essentially as precise as the best known multiplicity estimates in this setting. As an application, we prove a result that connects interpolation and multiplicity estimates.
This is a joint work with M. Nakamaye.
An interpolation estimate is a sufficient condition for the evaluation map to be surjective; it is dual to a multiplicity estimate, which deals with injectivity. Masser's first interpolation estimate on commutative algebraic groups can be generalized, and made essentially as precise as the best known multiplicity estimates in this setting. As an application, we prove a result that connects interpolation and multiplicity estimates.
This is a ...

## Multi angle  The congruence $f(x) + g(y) + c = 0$ $(mod$ $xy)$ Schinzel, Andrzej (Auteur de la Conférence) | CIRM (Editeur )

The assertions made by L. J. Mordell in his paper in Acta Mathematica 44(1952) are discussed. Mordell had been to a certain extent anticipated by E. Jacobsthal (1939).
backward induction - congruence - equation - non-zero coefficients - polynomials

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