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 theory etc. have also joined in. (See
the survey articles: V. T. S6s: Irregularities of partitions, Lec
ture Notes Series 82, London Math. Soc. , Surveys in Combinatorics,
1983, or J. Beck: Irregularities of distributions and
combinatorics, Lecture Notes Series 103, London Math. Soc. ,
Surveys in Combinatorics, 1985. ) The meeting held at Fertod,
Hungary from the 7th to 11th of July, 1986 was to emphasize this
development by bringing together a few people working on different
aspects of this circle of problems. Although combinatorics formed
the biggest contingent (see papers 2, 3, 6, 7, 13) some number
theoretic and analytic aspects (see papers 4, 10, 11, 14)
generalization of both (5, 8, 9, 12) as well as irregularities of
distribution in the geometric theory of numbers (1), the most
important instrument in bringing about the above combination of
ideas are also represented.
General
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