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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

5 votes
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114 views

Are there only finitely many totally positive algebraic integers of bounded height and fixed...

Let $K,t>0$ be two real constants. Consider the set $P(K,t)$ of monic polynomials with integral coefficients with all roots real, positive, and lying in the interval $(0,K)$, and with absolute trace e …