Jonas Kubilius is regarded as one of the outstanding mathematicians of this century. His research gave a new perspective on the relationship between number theory, analysis and probability theory. In honour of his 70th birthday, a conference was held at Palanga, Lithuania. This proceedings volume contains original papers focusing on probabilistic number theory, especially distribution laws for arithmetical functions. In addition, there are contributions which deal with other parts of number theory, such as Diophantine approximations, transcendental numbers and analytic number theory. Many contributions in this volume are from international experts in these fields. Also included are several papers from Lithuanian authors covering recent progress in the school of probabilistic number theory as founded by Jonas Kubilius.
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