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Mathematics - Number Theory and Discrete Mathematics | Automorphic Forms - Research in Number Theory from Oman

Automorphic Forms

Research in Number Theory from Oman

Heim, B., Al-Baali, M., Ibukiyama, T., Rupp, F. (Eds.)

2014, XIV, 242 p. 9 illus., 3 illus. in color.

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  • Presents research on number theory and automorphic forms presented at the Inaugural Conference on Modern Number Theory and Its Applications at German University of Technology in Oman in February 2012
  • Brings together the work of students, postdocs and experts in the field of modern number theory, providing a platform for scientific exchange and to build a bridge between scientists from Germany, Japan, and Oman
  • Includes surveys, outlines of research projects and genuine research articles presented at the conference on topics including Borcherds products, congruences and codes, Jacobi forms, Siegel and Hermitian modular forms, and special values of L-series

This edited volume presents a collection of carefully refereed articles covering the latest advances in Automorphic Forms and Number Theory, that were primarily developed from presentations given at the 2012 “International Conference on Automorphic Forms and Number Theory,” held in Muscat, Sultanate of Oman. The present volume includes original research as well as some surveys and outlines of research altogether providing a contemporary snapshot on the latest activities in the field and covering the topics of:

  • Borcherds products
  • Congruences and Codes
  • Jacobi forms
  • Siegel and Hermitian modular forms
  • Special values of L-series

Recently, the Sultanate of Oman became a member of the International Mathematical Society. In view of this development, the conference provided the platform for scientific exchange and collaboration between scientists of different countries from all over the world. In particular, an opportunity was established for a close exchange between scientists and students of Germany, Oman, and Japan. The conference was hosted by the Sultan Qaboos University and the German University of Technology in Oman.

Content Level » Research

Keywords » Borcherds Products - Discontinuous Groups and Automorphic Forms - Jacobi Forms - Number Theory - Siegel and Hermitian Modular Forms - Siegel and Hilbert-Siegel Modular Automorphic Forms

Related subjects » Algebra - Number Theory and Discrete Mathematics

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