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: 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.
(12663 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.
(4968 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.
(7223 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.
(8300 views)