RETRACTED: A generalization of the Schur–Siegel–Smyth trace problem
Copyright policy ) Pratt, Kyle; Shakan, George; Zaharescu, Alexandru;
RETRACTED: A generalization of the Schur–Siegel–Smyth trace problem
The absolute trace \(A(f)\) of a polynomial \(f(X)=X^n-a_{n-1}X^{n-1}+ \dots+(-1)^na_0\in \mathbb Z[X]\) is defined by \(A(f)=a_{n-1}/n\). Let \(\rho\) be the supremum of all positive \(c\) such that that for every \(\varepsilon>0\) there are at most finitely many irreducible polynomials with only real roots satisfying \(A(f)
- University of Illinois at Urbana Champaign United States
minimal polynomial, polynomials with all roots real, Schur-Siegel-Smyth trace problem, totally positive numbers, trace, Algebraic numbers; rings of algebraic integers, Polynomials in number theory
minimal polynomial, polynomials with all roots real, Schur-Siegel-Smyth trace problem, totally positive numbers, trace, Algebraic numbers; rings of algebraic integers, Polynomials in number theory
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