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  • Conference proceedings
  • © 2014

Automorphic Forms

Research in Number Theory from Oman

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 115)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xiv
  2. On p-Adic Properties of Siegel Modular Forms

    • Siegfried Böcherer, Shoyu Nagaoka
    Pages 47-66
  3. On the Existence of Hermitian Self-Dual Extended Abelian Group Codes

    • Lilibeth Dicuangco-Valdez, Pieter Moree, Patrick Solé
    Pages 67-84
  4. Reversing Borcherds Lifts: A Survey

    • Bernhard Heim, Atsushi Murase
    Pages 93-101
  5. Nonvanishing of L-Functions Associated to Cusp Forms of Half-Integral Weight

    • B. Ramakrishnan, Karam Deo Shankhadhar
    Pages 223-231

About this book

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.

Editors and Affiliations

  • Department of Mathematics and Science, German University of Technology in Oman, Muscat, Oman

    Bernhard Heim, Florian Rupp

  • Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman

    Mehiddin Al-Baali

  • Department of Mathematics Graduate School of Science, Osaka University, Osaka, Japan

    Tomoyoshi Ibukiyama

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access