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Vorlesungen Über Zahlentheorie by Helmut Hasse

Vorlesungen Über Zahlentheorie

by Helmut Hasse
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Book cover type: Paperback
  • ISBN13: 9783642886799
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 504
  • Original Price: EUR 70.08
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 726 grams
  • BISAC Subject(s): Algebra / General

Erster Abschnitt Grundlagen.- 1. Primzerlegung.- 2. Größter gemeinsamer Teiler.- 3. Vollkommene Zahlen, Mersennesche und Fermatsche Primzahlen.- 4. Kongruenz, Restklassen.- 5. Die Struktur der primen Restklassengruppen.- Zweiter Abschnitt Quadratische Reste.- 6. Definition, Reduktion, Kriterien.- 7. Das quadratische Reziprozitätsgesetz: Elementarer Beweis.- 8. Das quadratische Reziprozitätsgesetz: Beweis mit Gaußschen Summen.- 9. Die Jacobische Verallgemeinerung.- 10. Verteilungsfragen über quadratische Reste nach einer Primzahl.- Dritter Abschnitt Der Dirichletsche Primzahlsatz.- 11. Elementare Sonderfälle.- 12. Die Methode von Dirichlet.- 13. Die Charaktere endlicher abelscher Gruppen, Restklassencharaktere.- 14. Der Beweis von Dirichlet.- 15. Das Nichtverschwinden der L-Reihen.- Vierter Abschnitt Quadratische Zahlkörper.- 16. Elementare Teilbarkeitslehre.- 17. Divisorentheorie.- 18. Bestimmung der Klassenzahl.- 19. Quadratische Zahlkörper und quadratisches Reziprozitätsgesetz.- 20. Systematische Theorie der Gaußschen Summen.- Namenverzeichnis.

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