Automorphic Forms
Research in Number Theory from Oman
Editors: Heim, B., Al-Baali, M., Ibukiyama, T., Rupp, F. (Eds.)
Free Preview- 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
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- About this book
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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.
- Table of contents (17 chapters)
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On Formal Series of Jacobi Forms and Borcherds Products
Pages 1-10
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Finite or Infinite Number of Solutions of Polynomial Congruences in Two Positive Integer Variables
Pages 11-26
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On the Genus Version of the Basis Problem II: The Case of Oldforms
Pages 27-46
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On p-Adic Properties of Siegel Modular Forms
Pages 47-66
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On the Existence of Hermitian Self-Dual Extended Abelian Group Codes
Pages 67-84
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Table of contents (17 chapters)
- Download Preface 1 PDF (27.5 KB)
- Download Sample pages 1 PDF (200.1 KB)
- Download Table of contents PDF (26.8 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Automorphic Forms
- Book Subtitle
- Research in Number Theory from Oman
- Editors
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- Bernhard Heim
- Mehiddin Al-Baali
- Tomoyoshi Ibukiyama
- Florian Rupp
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 115
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-11352-4
- DOI
- 10.1007/978-3-319-11352-4
- Hardcover ISBN
- 978-3-319-11351-7
- Softcover ISBN
- 978-3-319-36337-0
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- XIV, 242
- Number of Illustrations
- 6 b/w illustrations, 3 illustrations in colour
- Topics
