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A new lower bound for the Schur-Siegel-Smyth trace problem

Giraudin, David Niedbala
arXiv (All) · Papers
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We prove that lambda_SSS >= 1.80220 for the smallest limiting trace-to-degree ratio of totally positive algebraic integers, improving the bound 1.80203 obtained by Orloski, Talebizadeh Sardari and Smith. The proof exhibits an explicit probability measure on [0,8] together with eighteen integer polyn
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