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CRC Press Metaharmonic Lattice Point Theory: 299 Mathematics

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Description

Metaharmonic Lattice Point Theory: 299 offers a deep look into the methods of spherically oriented geomathematics and periodically reflected analytic number theory. Part of the Chapman & Hall Pure and Applied Mathematics series, this text provides a specialized framework for understanding complex mathematical structures. The book establishes multi-dimensional Euler and Poisson summation formulas that correspond to elliptic operators. These are used for the adaptive determination and calculation of formulas and identities regarding weighted lattice point numbers. Readers will gain insights into the non-uniform distribution of lattice points through rigorous mathematical analysis. By interpreting classical Bernoulli polynomials as Green functions, the author explains how to obtain multi-dimensional generalizations of the Euler summation formula. This volume serves as a technical resource for researchers and students working within geophysics, geomathematics, and advanced number theory.

Key Features

Covers interrelated methods of spherically oriented geomathematics and periodically reflected analytic number theory.

Establishes multi-dimensional Euler and Poisson summation formulas for elliptic operators.

Provides tools for the adaptive determination of weighted lattice point numbers and their non-uniform distribution.

Explains multi-dimensional generalizations of the Euler summation formula using Green functions.

Includes classical Bernoulli polynomial interpretations to aid in complex mathematical calculations.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 May 2011
Listed Since
01 October 2010

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