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Additive properties of dense subsets of sifted sequences

Olivier Ramaré, Imre Z. Ruzsa (2001)

Journal de théorie des nombres de Bordeaux

We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.

Adelic equidistribution, characterization of equidistribution, and a general equidistribution theorem in non-archimedean dynamics

Yûsuke Okuyama (2013)

Acta Arithmetica

We determine when the equidistribution property for possibly moving targets holds for a rational function of degree more than one on the projective line over an algebraically closed field of any characteristic and complete with respect to a non-trivial absolute value. This characterization could be useful in the positive characteristic case. Based on a variational argument, we give a purely local proof of the adelic equidistribution theorem for possibly moving targets, which is due to Favre and...

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