Nicht aus der Schweiz? Besuchen Sie lehmanns.de

Value Distribution Theory Related to Number Theory

Buch | Hardcover
XI, 543 Seiten
2006 | 2006
Springer Basel (Verlag)
978-3-7643-7568-3 (ISBN)
CHF 148,25 inkl. MwSt

The subject of the book is Diophantine approximation and Nevanlinna theory. Not only does the text provide new results and directions, it also challenges open problems and collects latest research activities on these subjects made by the authors over the past eight years. Some of the significant findings are the proof of the Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, and a generalized abc-conjecture. The book also presents the state of the art in the studies of the analogues between Diophantine approximation (in number theory) and value distribution theory (in complex analysis), with a method based on Vojta's dictionary for the terms of these two fields. The approaches are relatively natural and more effective than existing methods.

The book is self-contained and appended with a comprehensive and up-to-date list of references. It is of interest to a broad audience of graduate students and researchers specialized in pure mathematics.

Heights.- Nevanlinna Theory.- Topics in Number Theory.- Function Solutions of Diophantine Equations.- Functions over Non-Archimedean Fields.- Holomorphic Curves in Canonical Varieties.- Riemann s ?-function.

Erscheint lt. Verlag 14.6.2006
Zusatzinfo XI, 543 p.
Verlagsort Basel
Sprache englisch
Maße 170 x 244 mm
Gewicht 1140 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Complex Analysis • Diophantine approximation • diophantine equations • Diophantische Gleichung • Distribution • Meromorphic Function • Nevanlinna theory • Number Theory • value distribution • Verteilung (math.) • Zahlentheorie • zeta function • Zeta-Funktion
ISBN-10 3-7643-7568-X / 376437568X
ISBN-13 978-3-7643-7568-3 / 9783764375683
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
CHF 109,95