/ edited by Krishnaswami Alladi, Manjul Bhargava, David Savitt, Pham Huu Tiep
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY
Name of Publisher, Distributor, etc.
: Springer New York :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
IX, 298 p. 1 illus., online resource.
SERIES
Series Title
(Developments in Mathematics,1389-2177
Volume Designation
; 31)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth ofthree 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 atconferences atthe 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.
Text of Note
Preface -- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki) -- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich) -- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch) -- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers) -- Quadratic and Automorphic Forms (J. Hanke) -- Integral Positive Ternary Quadratic Forms (W. Jagy) -- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala) -- On the Length of Binary Forms (B. Reznick) -- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot) -- Identifying the Matrix Ring (J. Voight).?╗╣