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CRC Press Metaharmonic Lattice Point Theory - Chapman & Hall 299

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Description

Metaharmonic Lattice Point Theory is a comprehensive mathematical text exploring spherically oriented geomathematics and periodically reflected analytic number theory. This advanced work establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators, enabling adaptive determination and calculation of weighted lattice point formulas and identities. The book addresses the non-uniform distribution of lattice points through rigorous mathematical methods, providing multi-dimensional generalisations of the Euler summation formula by interpreting classical Bernoulli polynomials as Green functions. Ideal for researchers and specialists in geomathematics, number theory, and applied mathematics seeking deep theoretical understanding of lattice point distributions and their computational applications.

Key Features

Metaharmonic Lattice Point Theory presents multi-dimensional Euler and Poisson summation formulas designed for elliptic operators and adaptive lattice point calculations.

The book establishes methods for weighted lattice point number determination, addressing non-uniform distribution patterns in mathematical systems.

Classical Bernoulli polynomials are reinterpreted as Green functions to develop generalised Euler summation formulas for multi-dimensional analysis.

This Chapman and Hall volume integrates spherically oriented geomathematics with analytic number theory for comprehensive theoretical foundations.

Product Specifications

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

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