Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of

chapter 1|8 pages


chapter 2|8 pages

Basic Notation

chapter 3|28 pages

One-Dimensional Auxiliary Material

chapter 6|102 pages

Preparatory Tools of Mathematical Physics

chapter 7|24 pages

Preparatory Tools of Fourier Analysis

chapter 9|34 pages

Euler Summation on Regular Regions

chapter 10|20 pages

Lattice Point Summation

chapter 11|20 pages

Lattice Ball Summation

chapter 12|18 pages

Poisson Summation on Regular Regions

chapter 13|24 pages

Poisson Summation on Planar Regular Regions

chapter 14|44 pages

Planar Distribution of Lattice Points

chapter 15|2 pages