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Titlebook: Equidistribution in Number Theory, An Introduction; Andrew Granville,Zeév Rudnick Conference proceedings 20071st edition Springer Science+

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发表于 2025-3-21 16:50:45 | 显示全部楼层 |阅读模式
书目名称Equidistribution in Number Theory, An Introduction
编辑Andrew Granville,Zeév Rudnick
视频video
概述Focus on distribution questions in number theory.Very broad view of the emergence of this exciting new school of thought.Motivated surveys of up-to-date research by truly leading researchers.Detailed
丛书名称NATO Science Series II: Mathematics, Physics and Chemistry
图书封面Titlebook: Equidistribution in Number Theory, An Introduction;  Andrew Granville,Zeév Rudnick Conference proceedings 20071st edition Springer Science+
描述From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series “Seminaire ´ de mathematiques ´ superieures”, ´ was held at the U- versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t- ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre- ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good
出版日期Conference proceedings 20071st edition
关键词Chemistry; Mathematics; NATO; Physics; Prime; Prime number; Science; Series II; algebraic varieties; calculus
版次1
doihttps://doi.org/10.1007/978-1-4020-5404-4
isbn_softcover978-1-4020-5403-7
isbn_ebook978-1-4020-5404-4Series ISSN 1568-2609
issn_series 1568-2609
copyrightSpringer Science+Business Media B.V. 2007
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发表于 2025-3-21 23:09:16 | 显示全部楼层
1568-2609 hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good978-1-4020-5403-7978-1-4020-5404-4Series ISSN 1568-2609
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Equidistribution in Number Theory, An Introduction
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Rahul Sharma,Pradip Sircar,Ram Bilas PachoriWe give a relatively easy proof of the Erdős-Kac theorem via computing moments. We show how this proof extends naturally in a sieve theory context, and how it leads to several related results in the literature.
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Mark Phillips B.Sc., LL.B., B.C.L.What follows is an expanded version of my lectures at the NATO School on Equidistribution. I have tried to keep the informal style of the lectures. In particular, I have sometimes oversimplified matters in order to convey the spirit of an argument.
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Application of Data Mining Techniques,The most important analytic method for handling equidistribution questions about rational points on algebraic varieties is undoubtedly the Hardy– Littlewood circle method. There are a number of good texts available on the circle method, but the reader may particularly wish to study the books (Davenport, 2005) and (Vaughan, 1997).
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Fracture Mechanics 1975 — An OverviewWe give examples of how classifying invariant probability measures for specific algebraic actions can be used to prove density and equidistribution results in number theory.
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