Geodesic
Hecke $L$ -Functions and the Distribution of Totally Positive Integers
Canadian journal of mathematics, Tome 59 (2007) no. 4, pp. 673-695

Voir la notice de l'article provenant de la source Cambridge University Press

Let $K$ be a totally real number field of degree $n$ . We show that the number of totally positive integers (or more generally the number of totally positive elements of a given fractional ideal) of given trace is evenly distributed around its expected value, which is obtained from geometric considerations. This result depends on unfolding an integral over a compact torus.
DOI : 10.4153/CJM-2007-029-4
Mots-clés : 11M41, 11F30, 11F55, 11H06, 11R47, Eisenstein series, toroidal integral, Fourier series, Hecke L-function, totally positive integer, trace 
Ash, Avner; Friedberg, Solomon. Hecke $L$ -Functions and the Distribution of Totally Positive Integers. Canadian journal of mathematics, Tome 59 (2007) no. 4, pp. 673-695. doi: 10.4153/CJM-2007-029-4
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