2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110164An 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 11/16.17 pagesNumber TheoryClassical Analysis and ODEs11P21text