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This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.

Current information on important branches of diophantine approximation from leading experts in the fieldDiverse methods are presentedThe influence of diophantine approximation in other fields, e.g. combinatorial geometry, game theoryIncludes supplementary material: sn.pub/extras