On the sphere problem.

@article{Chamizo1995,
abstract = {One of the oldest problems in analytic number theory consists of counting points with integer coordinates in the d-dimensional ball. It is very easy to find a main term for the counting function, but the size of the error term is difficult to estimate (...).},
author = {Chamizo, Fernando, Iwaniec, Henryk},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría analítica de números; Espacio euclídeo; Hiperespacio; Espacio topológico; Coordenadas; Esferas; Entorno; Números enteros; number of lattices points; three-dimensional sphere; sphere problem; character sums},
language = {eng},
number = {2},
pages = {417-429},
title = {On the sphere problem.},
url = {http://eudml.org/doc/39471},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Chamizo, Fernando
AU - Iwaniec, Henryk
TI - On the sphere problem.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 2
SP - 417
EP - 429
AB - One of the oldest problems in analytic number theory consists of counting points with integer coordinates in the d-dimensional ball. It is very easy to find a main term for the counting function, but the size of the error term is difficult to estimate (...).
LA - eng
KW - Teoría analítica de números; Espacio euclídeo; Hiperespacio; Espacio topológico; Coordenadas; Esferas; Entorno; Números enteros; number of lattices points; three-dimensional sphere; sphere problem; character sums
UR - http://eudml.org/doc/39471
ER -