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math.NT2026
Simultaneously preperiodic points and colliding orbits for families of polynomials in characteristic
Jungin Lee, GyeongHyeon Nam
Let and let be a polynomial of degree at least such that is non-additive. For in an algebraically closed extension of…
math.NT2026
The average number of rational preperiodic points of polynomials over
Jungin Lee
Let denote the average number of rational preperiodic points among degree- polynomials over with vanishing coefficient, constant term , and he…
math.NT2026
An upper bound for counting algebraic tori over by Artin conductor
Jungin Lee
Let be the number of isomorphism classes of -dimensional algebraic tori over whose Artin conductor is bounded by . We prove that there is…
math.NT2026
Universality of the cokernels of random -adic matrices with inhomogeneously balanced columns
Jungin Lee, Sungjin Park
In this paper, we prove universality of the distribution of the cokernels of random -adic matrices with inhomogeneously balanced columns. More precisely, let be an int…