Titlebook: Erdös Centennial; László Lovász,Imre Z. Ruzsa,Vera T. Sós Book 2013 Springer-Verlag Berlin Heidelberg 2013 combinatorics.number theory.pro

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,The Impact of Paul Erdős on Set Theory,This is a brief survey of some areas in set theory where the impact of Paul Erdős is strongly felt today. We omit topics in partition theory and graph theory, which are covered in the article by Péter Komjáth in this volume.

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Interacting with the Speech API,nd set theory, I was on his “mailing list.“ Paul’s letters arrived several times a year from mathematics centers near and far. They typically began, . … . This article reviews some of the topics we discussed: estimates of prime number counts, distribution questions for the Euler φ function, and elementary methods in prime number theory.

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Artificial Intelligence for Businesss note we survey various results in this subject, many of which were motivated by Erdős’ problems and conjectures on such sums. This note complements the excellent treatment of this topic given by A. Schinzel in 2002..

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Business Analytics and Intelligence,y him and his collaborators. As one of the few persons equally versed in finite as well as in infinite sets, upon hearing a result on finite graphs, he always eagerly checked if it has a reasonable counterpart for infinite graphs.

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https://doi.org/10.1007/978-981-15-5936-5not too many essential stories which have determined the course of the subject over a long period, enduring stories which appear again and again as a source of inspiration and motivate and challenge research.

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Renier van Heerden,Louise Leenen,Barry Irwin them were either initiated by Paul Erdős (sometimes with coauthors), or were raised ahead of Erdős; nevertheless he was among those who reached very important results in them (like the problem of the large and small gaps between consecutive primes).

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