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A lower bound for the Call-Silverman height in cyclotomic extensions

Year: 2026
Type: preprint
Abstract: For quadratic postcritically finite polynomials defined over a number field $K$, we establish lower bounds for the Call-Silverman height of wandering algebraic integers lying in cyclotomic extensions of $K$ and provide partial results for the nonintegral case. Our proof combines potential theory and algebraic number theory with equidistribution techniques.
Language: English
Open Access status: green
OpenAlex ID: W7207736537
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