**Geometry of Numbers with Applications to Number Theory**

by Pete L. Clark

**Publisher**: University of Georgia 2013**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).

Download or read it online for free here:

**Download link**

(700KB, PDF)

## Similar books

**Introduction to Shimura Varieties**

by

**J.S. Milne**

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.

(

**5712**views)

**Algorithms for Modular Elliptic Curves**

by

**J. E. Cremona**-

**Cambridge University Press**

The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.

(

**12084**views)

**Predicative Arithmetic**

by

**Edward Nelson**-

**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.

(

**13553**views)

**Comments and topics on Smarandache notions and problems**

by

**Kenichiro Kashihara**-

**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.

(

**9121**views)