Metaharmonic Lattice Point Theory

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Focusing on advanced mathematical techniques, this work explores the intersection of spherically oriented geomathematics and analytic number theory. It introduces multi-dimensional Euler and Poisson summation formulas linked to elliptic operators, aimed at calculating weighted lattice point numbers. The book delves into periodization methods, examines lattice point distributions in complex "potato-like" regions, and addresses both radial and angular non-uniform distributions, making it a significant resource for researchers in these fields.