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Developments in Mathematics

Quadratic and Higher Degree Forms

Editors: Alladi, K., Bhargava, M., Savitt, D., Tiep, P.H. (Eds.)

  • ​Provides survey lectures, also accessible to non-experts
  • Introduction summarizes current research on quadratic and higher degree forms with a presentation of the necessary background material
  • Contains expositions on the latest advances on some famous mathematical problems
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  • ISBN 978-1-4614-7488-3
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Hardcover 88,39 €
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About this book

In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School. The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadratic forms and automorphic forms, representation of integers and forms by quadratic forms, connections between quadratic forms and lattices, and algorithms for quaternion algebras and quadratic forms. The book will be of interest to graduate students and mathematicians wishing to study quadratic and higher degree forms, as well as to established researchers in these areas.

Quadratic and Higher Degree Forms contains research and semi-expository papers that stem from the presentations at conferences at the University of Florida as well as survey lectures on quadratic forms based on the instructional workshop for graduate students held at the Arizona Winter School. The survey papers in the volume provide an excellent introduction to various aspects of the theory of quadratic forms starting from the basic concepts and provide a glimpse of some of the exciting questions currently being investigated. The research and expository papers present the latest advances on quadratic and higher degree forms and their connections with various branches of mathematics.

Table of contents (10 chapters)

  • Toy Models for D. H. Lehmer’s Conjecture II

    Bannai, Eiichi (et al.)

    Pages 1-27

    Preview Buy Chapter 30,19 €
  • On Representation of an Integer by X 2 + Y 2 + Z 2 and the Modular Equations of Degree 3 and 5

    Berkovich, Alexander

    Pages 29-49

    Preview Buy Chapter 30,19 €
  • Almost Universal Ternary Sums of Squares and Triangular Numbers

    Chan, Wai Kiu (et al.)

    Pages 51-62

    Preview Buy Chapter 30,19 €
  • Weighted Generating Functions for Type II Lattices and Codes

    Elkies, Noam D. (et al.)

    Pages 63-108

    Preview Buy Chapter 30,19 €
  • Quadratic Forms and Automorphic Forms

    Hanke, Jonathan

    Pages 109-168

    Preview Buy Chapter 30,19 €

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-1-4614-7488-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-1-4614-7487-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Quadratic and Higher Degree Forms
Editors
  • Krishnaswami Alladi
  • Manjul Bhargava
  • David Savitt
  • Pham Huu Tiep
Series Title
Developments in Mathematics
Series Volume
31
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7488-3
DOI
10.1007/978-1-4614-7488-3
Hardcover ISBN
978-1-4614-7487-6
Series ISSN
1389-2177
Edition Number
1
Number of Pages
IX, 298
Topics