Metaharmonic Lattice Point Theory

This book explains the analytic theory of numbers involving methods of mathematical geophysics. It establishes multidimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive discussion of formulas and identities of weighted lattice point numbers. Focusing on nonuniform distribution of lattice points, the text presents fundamental tools of analytic theory, mathematical physics, and Fourier analysis before covering Green functions and Euler, lattice point, lattice ball, and Poisson summation.