Expressing a number as the sum of two coprime squares
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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.
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Dicks, Warren , 1947-; Porti, Joan , 1967-. «Expressing a number as the sum of two coprime squares». Collectanea Mathematica, 1998, vol.VOL 49, núm. 2, p. 283-91, http://raco.cat/index.php/CollectaneaMathematica/article/view/56458.