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: 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.
(6477 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.
(7594 views)
Book cover: Lectures on Shimura VarietiesLectures on Shimura Varieties
by
The goal of these lectures is to explain the representability of moduli space abelian varieties with polarization, endomorphism and level structure, due to Mumford and the description of the set of its points over a finite field, due to Kottwitz.
(4565 views)
Book cover: Introduction to Shimura VarietiesIntroduction to Shimura Varieties
by
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.
(4326 views)