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Hecke $L$-Functions and the Distribution of Totally Positive Integers
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2007
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