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Titlebook: Diophantine Analysis; Course Notes from a Jörn Steuding Textbook 2016 Springer International Publishing AG 2016 Diophantine Analysis.Analy

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发表于 2025-3-21 18:15:13 | 显示全部楼层 |阅读模式
书目名称Diophantine Analysis
副标题Course Notes from a
编辑Jörn Steuding
视频video
概述Present four different (nevertheless related) topics in Diophantine Analysis.Each part serves as a self-contained introduction to the topic.Each part present central results, relevant applications and
丛书名称Trends in Mathematics
图书封面Titlebook: Diophantine Analysis; Course Notes from a  Jörn Steuding Textbook 2016 Springer International Publishing AG 2016 Diophantine Analysis.Analy
描述.This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book..
出版日期Textbook 2016
关键词Diophantine Analysis; Analytic Number Theory; Diophantine Approximation,; Transcendence Theory; Linear F
版次1
doihttps://doi.org/10.1007/978-3-319-48817-2
isbn_softcover978-3-319-84020-8
isbn_ebook978-3-319-48817-2Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer International Publishing AG 2016
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发表于 2025-3-21 22:50:05 | 显示全部楼层
Albert K. W. Yeung,G. Brent Hallhe coefficients and the number of variables of the linear form. For a concrete set of numbers it is a big challenge to find such lower bounds. We will give a recent example on such lower bounds, namely a new generalised transcendence measure for ..
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A Geometric Face of Diophantine Analysis,he coefficients and the number of variables of the linear form. For a concrete set of numbers it is a big challenge to find such lower bounds. We will give a recent example on such lower bounds, namely a new generalised transcendence measure for ..
发表于 2025-3-22 12:26:04 | 显示全部楼层
Historical Face of Number Theory(ists) at the Turn of the 19th Century,, University of Halle, 1895, [.]) as well as its modern reappearance in a paper of Shigeru Tanaka from 1985 Tanaka (A complex continued fraction transformation and its ergodic properties. Tokyo J Math 8:191–214, 1985, [.]).
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Diophantine Analysis978-3-319-48817-2Series ISSN 2297-0215 Series E-ISSN 2297-024X
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Trends of Spatial Database Systemsall unsolved at the time and several of them were very influential for 20th century mathematics. Hilbert believed it was essential for mathematicians to find new machineries and methods in order to solve the mentioned problems. The seventh problem deals with the transcendence of . for algebraic . an
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Albert K. W. Yeung,G. Brent Halltor from a convex subset in an .-dimensional space, say in .. Hermann Minkowski answered this challenge with his convex body theorems. In these lectures we shall discuss how to apply Minkowski’s theorems to prove classical Diophantine inequalities and some variations of Siegel’s lemma. Further, we s
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