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Image for Analytische Funktionen in der Zahlentheorie

Analytische Funktionen in der Zahlentheorie

Kratzel, Ekkehard

Part of the Teubner-texte Zur Mathematik series

See all formats and editions

Im Mittelpunkt des Buches steht die Behandlung von Funktionalgleichungen analytischer Funktionen, die fur die Anwendungen in der Zahlentheorie von Interesse sind.

Ausgehend vom Gedankenkreis des quadratischen Reziprozitatsgesetzes werden die analytischen Grundlagen durch die Jacobischen Thetafunktionen und die Dedekindsche Etafunktion gelegt und ihre Beziehungen zu den Gaussschen und Dedekindschen Summen erortert.

Anschliessend werden Verallgemeinerungen dieser Funktionen bezuglich hoherer arithmetischer Probleme besprochen.

Schliesslich werden analytische Funktionen uber konvexen Korpern betrachtet und Abschatzungen von Gitterpunktanzahlen in konvexen Korpern vorgenommen.

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Product Details

Publisher/Imprint Vieweg+Teubner Verlag

ISBN/Ean3519002892 / 9783519002895

FormatPaperback / softback

Dewey512

Published29/11/2000

Country of PubGermany

Pages288 pages, 1 Illustrations, black and white; 288 S. 1 Abb.

Dimensions161 x 235 mm

BIC PBF Algebra, PBH Number theory