2006/03/13 by E. Krätzel, Ekkehard Krätzel, Krätzel, E. +3
Engineering · Mathematics · Physics and Astronomy · #11P21 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #Optical Coherence Tomography Applications #Optical Polarization and Ellipsometry #Radioactive Decay and Measurement Techniques #math.CA #math.NT #msc:11P21
paper · pdf · doi:10.48550/arxiv.math/0603292
17 pages
arxiv created 2006/03/13 · openalex publication_date 2006/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An effective estimate for the lattice point discrepancy of ellipsoids of rotation. This paper provides an explicit bound, with numerical constants, for the lattice point discrepancy (= number of integer points minus volume) of an ellipsoid Q < x, where Q is a positive definite ternary quadratic form, diagonalized and invariant with respect to rotations around one coordinate axis. In the result the exponent of x in the leading term is equal to 11/16.