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Modulformen: Fundamentale Werkzeuge Der Mathematik by Claudia Alfes-Neumann

Modulformen: Fundamentale Werkzeuge Der Mathematik

by Claudia Alfes-Neumann
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Book cover type: Paperback
  • ISBN13: 9783658301910
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 41
  • Original Price: EUR 14.01
  • Language: German
  • Edition: 1. Aufl. 2020
  • Item Weight: 73 grams
  • BISAC Subject(s): Number Theory

Claudia Alfes-Neumann behandelt in diesem essential Anwendungen der Theorie der Modulformen und ihre Bedeutung als grundlegende Werkzeuge in der Mathematik. Diese - zun�chst rein analytisch definierten - Funktionen treten in sehr vielen Bereichen der Mathematik auf: sehr prominent in der Zahlentheorie, aber auch in der Geometrie, Kombinatorik, Darstellungstheorie und der Physik. Nach der Erl�uterung notwendiger Grundlagen aus der komplexen Analysis definiert die Autorin Modulformen und zeigt einige Anwendungen in der Zahlentheorie. Des Weiteren greift sie zwei wichtige Aspekte der Theorie rund um Modulformen auf: Hecke-Operatoren und L-Funktionen von Modulformen. Den Abschluss des essentials bildet ein Ausblick auf reell-analytische Verallgemeinerungen von Modulformen, die in der aktuellen Forschung eine bedeutende Rolle spielen.

Jun.-Prof. Dr. Claudia Alfes-Neumann ist Juniorprofessorin für Reine Mathematik an der Universität Paderborn und leitet die Arbeitsgruppe Zahlentheorie und automorphe Formen.

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