Evan O'Dorney

activity

20142026

most citedDegree asymptotics of the numerical semigroup tree

10 citations · 11 across the 5 of their papers we have counts for

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math.NT2026

Galois groups of reciprocal polynomials II: Twisted reciprocal polynomials

Theresa C. Anderson, Evan M. O'Dorney

We study the Galois group $G_{f}$ of a random polynomial $f$ of height at most $H$ in the family of polynomials of degree $2 n$ satisfying the twisted reciprocal relation $f(x) = x^{2…

math.NT2018★ 1 cited

Visibly irreducible polynomials over finite fields

Evan M. O'Dorney

H. Lenstra has pointed out that a cubic polynomial of the form (x-a)(x-b)(x-c) + r(x-d)(x-e), where {a,b,c,d,e} is some permutation of {0,1,2,3,4}, is irreducible modulo 5 because…

math.NT2014

Continued Fractions and Linear Fractional Transformations

Evan O'Dorney

Rational approximations to a square root $k$ can be produced by iterating the transformation $f (x) = (d x + k) / (x + d)$ starting from $\infty$ for any positive integer $d$ . We sh…