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1
Sums of two squares are strongly biased towards quadratic residues
Published 2023“…To illustrate, we have under GRH that the number of sums of two squares up to <span tabindex="0">x</span> that are <span tabindex="0">1mod3</span> is greater than those that are <span tabindex="0">2mod3</span> 100% of the time in natural density sense.</p>…”
Journal article -
2
The density of shifted and affine Eisenstein polynomials
Published 2016“…In this paper we provide a complete answer to a question by Heyman and Shparlinski concerning the natural density of polynomials which are irreducible by Eisenstein's criterion after applying some shift. …”
Journal article -
3
Evolution of flowering decisions in a stochastic, density-dependent environment.
Published 2008“…Here, we show how, by combining a range of theoretical approaches with the statistical analysis of individually structured databases, accurate prediction of life history decisions is possible in natural density-regulated populations undergoing large fluctuations in demographic rates from year to year. …”
Journal article