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Metaharmonic Lattice Point Theory

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Focusing on advanced mathematical techniques, the book explores the intersection of spherically oriented geomathematics and analytic number theory. It introduces multi-dimensional Euler and Poisson summation formulas tailored for elliptic operators, facilitating the calculation of weighted lattice point numbers. Key topics include periodization methods, the analysis of "potato-like" regions, and the study of radial and angular non-uniform distributions of lattice points, providing a comprehensive framework for understanding complex geometric and numerical relationships.

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Metaharmonic Lattice Point Theory, Willi Freeden

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2011
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