Diophantine number theory is an active area that has seen tremendous growth over the past
century, and in this theory unit equations play a central role. This comprehensive treatment …

Stochastic approximation is a foundation for many algorithms found in machine learning and
optimization. It is in general slow to converge: the mean square error vanishes as $ O (n …

Nous donnons de nouvelles versions effectives du théorème des périodes de Masser et
Wüstholz. Nos énoncés sont totalement explicites et permettent de raffiner les applications …

This introduction to the theory of Diophantine approximation pays special regard to
Schmidt's subspace theorem and to its applications to Diophantine equations and related …

Abstract top The subject of the talk is the recent work of Mihăilescu, who proved that the
equation x py q= 1 has no solutions in non-zero integers x, y and odd primes p, q. Together …

In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the
only consecutive pure powers of nonzero integers. One hundred and sixty years after, the …

Recently, the second author has associated a finite-module to the Carlitz module over a
finite extension of. This module is an analogue of the ideal class group of a number field. In …

Stochastic approximation is a foundation for many algorithms found in machine learning and
optimization. It is in general slow to converge: the mean square error vanishes as $ O (n …

For each positive characteristic multiple zeta value (defined by Thakur in Function field
arithmetic, World Scientific Publishing, River Edge, 2004), the first and third authors in …

On the exponential local-global principle × Close The Infona portal uses cookies, ie strings of
text saved by a browser on the user's device. The portal can access those files and use them to …