Quadratic and higher degree forms Krishnaswami Alladi, Manjul Bhargava, David Savitt, Pham Huu Tiep, editors

Format:

Book

Contributor:

Alladi, Krishnaswami, editor.

Series:

Developments in mathematics ; 1389-2177 v. 31,

Developments in Mathematics 1389-2177 v. 31

Language:

English

Subjects (All):

Forms, Quadratic.

Automorphic forms.

Forms (Mathematics).

Number theory.

Mathematical Concepts.

Medical Subjects:

Mathematical Concepts.

Genre:

Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer 2013

Language Note:

English

System Details:

text file

PDF

Summary:

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

Contents:

Toy Models for D.H. Lehmer's Conjecture II Eiichi Bannai, Tsuyoshi Miezaki On Representation of an Integer by X² + Y² + Z² and the Modular Equations of Degree 3 and 5 Alexander Berkovich Almost Universal Ternary Sums of Squares and Triangular Numbers Wai Kiu Chan, Anna Haensch Weighted Generating Functions for Type II Lattices and Codes Noam D. Elkies, Scott Duke Kominers Quadratic Forms and Automorphic Forms Jonathan Hanke Integral Positive Ternary Quadratic Forms William C. Jagy Some Aspects of the Algebraic Theory of Quadratic Forms R. Parimala On the Length of Binary Forms Bruce Reznick Representation of Quadratic Forms by Integral Quadratic Forms Rainer Schulze-Pillot Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms John Voight

Notes:

Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013)

Includes bibliographical references

Other Format:

Printed edition:

ISBN:

9781461474883

1461474884

1461474876

9781461474876

OCLC:

857587302

Access Restriction:

Restricted for use by site license