Quadratic and Higher Degree Forms

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alladi, Krishnaswami. (Editor), Bhargava, Manjul. (Editor), Savitt, David. (Editor), Tiep, Pham Huu. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Developments in Mathematics, 31
• Subjects: Mathematics.; Functions, special.; Combinatorics.; Number theory.; Number Theory.; Special Functions.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7488-3

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 th...

Table of Contents:

• 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).