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Since his death in 1996, many scientific meetings have been dedicated to the memory of Paul Erdos. From July 4 to 11, 1999, the conference -Paul Erdos and his Mathematics- was held in Budapest, with the ambitious goal of showing the whole range of Erdos' work - a difficult task in view of Erdos' versatility and his broad scope of interest in mathematics. According to this goal, the topics of lectures, given by the leading specialists of the subjects, included number theory, combinatorics, analysis, set theory, probability, geometry and areas connecting them, like ergodic theory. The...

The problem of uniform distribution of sequences initiated by Hardy, Little- wood and Weyl in the 1910's has now become an important part of number theory. This is also true, in relation to combinatorics, of what is called Ramsey- theory, a theory of about the same age going back to Schur. Both concern the distribution of sequences of elements in certain collection of subsets. But it was not known until quite recently that the two are closely interweaving bear- ing fruits for both. At the same time other fields of mathematics, such as ergodic theory, geometry, information theory, algorithm...