Diophantine Analysis

Course Notes from a Summer School

Buch | Softcover

XI, 232 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-84020-8 (ISBN)

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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 Bujacic 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.

Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany.

1. Linear Forms in Logarithms (by Sanda Bujacic, Alan Filipin).- 2. Metric Diophantine Approximation - From Continued Fractions to Fractals (by Simon Kristensen).- 3. A Geometric Face of Diophantine Analysis (by Tapani Matala-aho).- 4. Historical Face of Number Theory(ists) at the turn of the 19th Century (by Nicola M.R. Oswald)

Erscheinungsdatum	05.03.2022
Reihe/Serie	Trends in Mathematics
Co-Autor	Sanda Bujačić, Alan Filipin, Simon Kristensen, Tapani Matala-aho, Nicola M.R. Oswald
Zusatzinfo	XI, 232 p. 34 illus., 31 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	379 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Analytic number theory • Diophantine Analysis • Diophantine Approximation, • Dynamical Systems • Linear Form in Logarithms • transcendence theory
ISBN-10	3-319-84020-7 / 3319840207
ISBN-13	978-3-319-84020-8 / 9783319840208
Zustand	Neuware