Book Review: Slatistical independence in probability, analysis and number theory

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Probability Methods in Some Problems of Analysis and Number Theory

An address delivered before the Annual Meeting of the Society in Columbus, Ohio, on December 28, 1948, by invitation of the Committee to Select Hour Speakers for Annual and Summer Meetings; received by the editors November 1, 1948. 1 Numbers in brackets refer to the references cited at the end of the paper. 2 Here, as in the sequel, E { } denotes the set of ^s satisfying the condition inside th...

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On Some Applications of Probability to Analysis and Number Theory

It would be quite impossible to give a survey of these subjects in a short article or lecture, and I will only succeed by making some arbitrary restrictions on the topics with which I will deal . First of all, I will restrict myself to problems and results on which I worked, and secondly, I will not discuss subjects which have been discussed in recently appeared review articles [1] . Probabilis...

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Ns of Probability to Additive Number Theory and Harmonic Analysis

We present some applications of the probabilistic method in additive number theory and harmonic analysis. We describe two general approaches to the probablistic construction of certain objects. The question of whether one can actually \construct" these is also discussed and several examples of \derandomized" probabilistic proofs are given.

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1960

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1960-10459-4