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math.NT2026
A relative Schinzel-Zassenhaus bound for the polynomial
Alessio Cangini
For , we establish a lower bound for the relative dynamical house of wandering algebraic integers. This bound depends on the degree over the maximal abelian extensi…
math.NT2026
A lower bound for the Call-Silverman height in cyclotomic extensions
Alessio Cangini
For quadratic postcritically finite polynomials defined over a number field , we establish lower bounds for the Call-Silverman height of wandering algebraic integers lying in cy…