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

博識(shí)

,Erd?s and Multiplicative Number Theory,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.

Clinch

,Paul Erd?s and Egyptian Fractions,s note we survey various results in this subject, many of which were motivated by Erd?s’ problems and conjectures on such sums. This note complements the excellent treatment of this topic given by A. Schinzel in 2002..

遵循的規(guī)范

,Erd?s’s Work on Infinite Graphs,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.

血統(tǒng)

,A Combinatorial Classic — Sparse Graphs with High Chromatic Number,not 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.

NUDGE

,Paul Erd?s and the Difference of Primes, them were either initiated by Paul Erd?s (sometimes with coauthors), or were raised ahead of Erd?s; nevertheless he was among those who reached very important results in them (like the problem of the large and small gaps between consecutive primes).

GLOOM

Springer-Verlag Berlin Heidelberg 2013

curriculum

Erd?s Centennial978-3-642-39286-3Series ISSN 1217-4696 Series E-ISSN 2947-9460

HEED

László Lovász,Imre Z. Ruzsa,Vera T. SósPublished on the occasion of Paul Erd?s 100th anniversary.This volume describes the way in which problems raised by Paul Erd?s and topics initiated by him continue to flourish today.Contains contribut

Sedative

考博

,Paul Erd?s and Probabilistic Reasoning,ive Number Theory and Combinatorial Geometry. This short paper describes some of the beautiful applications of the method, focusing on the long-term impact of the work, questions and results of Erd?s. This is mostly a survey, but it contains a few novel results as well.