Quadratic and Higher Degree Forms

  • Krishnaswami Alladi
  • Manjul Bhargava
  • David Savitt
  • Pham Huu Tiep

Part of the Developments in Mathematics book series (DEVM, volume 31)

Table of contents

About this book

Introduction

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.

Keywords

advances number theory higher degree forms hypergeometric functions problems representation theory quadratic forms spherical harmonics

Editors and affiliations

  • Krishnaswami Alladi
    • 1
  • Manjul Bhargava
    • 2
  • David Savitt
    • 3
  • Pham Huu Tiep
    • 4
  1. 1.Department of MathematicsUniversity of Florida Department of MathematicsGainesvilleUSA
  2. 2.Department of MathematicsPrinceton UniversityPrincetonUSA
  3. 3.Department of MathematicsUniversity of ArizonaTucsonUSA
  4. 4.Department of MathematicsUniversity of ArizonaTusconUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-7488-3
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-7487-6
  • Online ISBN 978-1-4614-7488-3
  • Series Print ISSN 1389-2177
  • About this book
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