Logo

Geometry of Numbers with Applications to Number Theory

Small book cover: Geometry of Numbers with Applications to Number Theory

Geometry of Numbers with Applications to Number Theory
by

Publisher: University of Georgia
Number of pages: 138

Description:
The goal is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart (Quasi)-Polynomial, Minkowski's Convex Body Theorems, Lattice Constants for Ellipsoids, Minkowski-Hlawka Theorem -- and its applications to number theory, especially to solutions of Diophantine equations (and especially, to integers represented by quadratic forms).

Home page url

Download or read it online for free here:
Download link
(700KB, PDF)

Similar books

Book cover: Topics in the Theory of Quadratic ResiduesTopics in the Theory of Quadratic Residues
by - arXiv
Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study ...
(3814 views)
Book cover: The Smarandache FunctionThe Smarandache Function
by - Erhus University Press
The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
(7556 views)
Book cover: Predicative ArithmeticPredicative Arithmetic
by - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
(13054 views)
Book cover: A set of new Smarandache functions, sequences and conjectures in number theoryA set of new Smarandache functions, sequences and conjectures in number theory
by - American Research Press
The fascinating Smarandache's universe is halfway between the recreational mathematics and the number theory. This book presents new Smarandache functions, conjectures, solved and unsolved problems, new type sequences and new notions in number theory.
(8627 views)