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Quadratische Zahlkoerper

Lemmermeyer, Franz

English Title: Quadratic Number Fields

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Abstract

Elementare Einfuehrung in die Arithmetik quadratischer Zahlkoerper, motiviert durch das Studium diophantischer Gleichungen wie $x^3 + y^3 = z^3$ oder $y^2 = x^3 - k$. Behandelt werden Teilbarkeit, Primelemente, Primideale, die Idealklassengruppe, Klassenzahlen, sowie die Theorie der Geschlechter nebst einer Anwendung auf das quadratische Reziprozitaetsgesetz.

Translation of abstract (English)

Elementary introduction to the arithmetic of quadratic number fields, motivated through studying diophantine equations such as $x^3 + y^3 = z^3$ or $y^2 = x^3 - k$. We duscuss divisibility, prime elements, prime ideals, the ideal class group, class numbers, as well as genus theory plus its application to the quadratic reciprocity law.

Item Type: Other
Date Deposited: 16 Aug 1999 13:55
Date: 1999
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Quadratischer Zahlkörper, Quadratisches Reziprozitätsgesetz, Geschlecht <Mathematik>, Diophantische Gleichung
Uncontrolled Keywords: Bachet-Mordell-Gleichungquadratic number field , quadratic reciprocity law , genus theory , diophantine equation
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