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Density of rational points on cyclic covers of n

Ritabrata Munshi (2009)

Journal de Théorie des Nombres de Bordeaux

We obtain upper bound for the density of rational points on the cyclic covers of n . As n our estimate tends to the conjectural bound of Serre.

Diophantine approximation on algebraic varieties

Michael Nakamaye (1999)

Journal de théorie des nombres de Bordeaux

We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.

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