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: 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.
(20838 views)
Book cover: Modular Forms, Hecke Operators, and Modular Abelian VarietiesModular Forms, Hecke Operators, and Modular Abelian Varieties
by - University of Washington
Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences...
(11913 views)
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.
(11236 views)
Book cover: Harmonic Analysis, the Trace Formula, and Shimura VarietiesHarmonic Analysis, the Trace Formula, and Shimura Varieties
by - American Mathematical Society
The goal of this volume is to provide an entry point into the challenging field of the modern theory of automorphic forms. It is directed on the one hand at graduate students and professional mathematicians who would like to work in the area.
(15219 views)