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: 159

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).

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: Lectures On Irregularities Of DistributionLectures On Irregularities Of Distribution
by - Tata Institute of Fundamental Research
The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.
(9105 views)
Book cover: Comments and topics on Smarandache notions and problemsComments and topics on Smarandache notions and problems
by - Erhus University Press
An examination of some of the problems posed by Florentin Smarandache. The problems are from different areas, such as sequences, primes and other aspects of number theory. The problems are solved in the book, or the author raises new questions.
(12798 views)
Book cover: Essays on the Theory of NumbersEssays on the Theory of Numbers
by - The Open Court Publishing
This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.
(14029 views)
Book cover: Notes on Fermionic Fock Space for Number TheoristsNotes on Fermionic Fock Space for Number Theorists
by - The University of Arizona
This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.
(12218 views)