Katherine E. Stange

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20142024

most citedIndex Divisibility in Dynamical Sequences and Cyclic Orbits Modulo

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4 citations · 5 across the 4 of their papers we have counts for

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math.NT2016★ 4 cited

Index Divisibility in Dynamical Sequences and Cyclic Orbits Modulo $p$

Annie S. Chen, T. Alden Gassert, Katherine E. Stange

Let $ϕ (x) = x^{d} + c$ be an integral polynomial of degree at least 2, and consider the sequence $(ϕ^{n} (0))_{n = 0}^{\infty}$ , which is the orbit of $0$ under iteration by $ϕ$ . Let $D_{d,…

math.NT2014★ 1 cited

An arborist's guide to the rationals

Katherine E. Stange

There are two well-known ways to enumerate the positive rational numbers in an infinite binary tree: the Farey/Stern-Brocot tree and the Calkin-Wilf tree. In this brief note, we de…