Expressing a number as the sum of two coprime squares.

Warren Dicks; Joan Porti

Collectanea Mathematica (1998)

  • Volume: 49, Issue: 2-3, page 283-291
  • ISSN: 0010-0757

Abstract

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We use hyperbolic geometry to study the limiting behavior of the average number of ways of expressing a number as the sum of two coprime squares. An alternative viewpoint using analytic number theory is also given.

How to cite

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Dicks, Warren, and Porti, Joan. "Expressing a number as the sum of two coprime squares.." Collectanea Mathematica 49.2-3 (1998): 283-291. <http://eudml.org/doc/41295>.

@article{Dicks1998,
abstract = {We use hyperbolic geometry to study the limiting behavior of the average number of ways of expressing a number as the sum of two coprime squares. An alternative viewpoint using analytic number theory is also given.},
author = {Dicks, Warren, Porti, Joan},
journal = {Collectanea Mathematica},
keywords = {Teoría de números; Plano hiperbólico; Grupos fuchsianos; Teselaciones; sums of coprime squares; volumes of Fuchsian groups; Eisenstein series},
language = {eng},
number = {2-3},
pages = {283-291},
title = {Expressing a number as the sum of two coprime squares.},
url = {http://eudml.org/doc/41295},
volume = {49},
year = {1998},
}

TY - JOUR
AU - Dicks, Warren
AU - Porti, Joan
TI - Expressing a number as the sum of two coprime squares.
JO - Collectanea Mathematica
PY - 1998
VL - 49
IS - 2-3
SP - 283
EP - 291
AB - We use hyperbolic geometry to study the limiting behavior of the average number of ways of expressing a number as the sum of two coprime squares. An alternative viewpoint using analytic number theory is also given.
LA - eng
KW - Teoría de números; Plano hiperbólico; Grupos fuchsianos; Teselaciones; sums of coprime squares; volumes of Fuchsian groups; Eisenstein series
UR - http://eudml.org/doc/41295
ER -

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