M. Robinson

activity

20112016

most citedCounting Fixed Points, Two-Cycles, and Collisions of the Discrete Exponential Function using p-adic Methods

5 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016★ 3 cited

Counting fixed points and rooted closed walks of the singular map $x \mapsto x^{x^{n}}$ modulo powers of a prime

Joshua Holden, Pamela A. Richardson, Margaret M. Robinson

The "self-power" map $x \mapsto x^{x}$ modulo $m$ and its generalized form $x \mapsto x^{x^{n}}$ modulo $m$ are of considerable interest for both theoretical reasons and for potential…

math.NT2012

The Igusa local zeta function for $x^{n} + y^{m}$

Rebecca Field, Vibhavaree Gargeya, Margaret M. Robinson +2

This paper provides specific results on the Igusa local zeta function for the curves $x^{n} + y^{m}$ . In addition to specific results, we give an introduction to $p$ -adic analysis and a…

math.NT2011★ 5 cited

Counting Fixed Points, Two-Cycles, and Collisions of the Discrete Exponential Function using p-adic Methods

Joshua Holden, Margaret M. Robinson

Brizolis asked for which primes p greater than 3 does there exist a pair (g, h) such that h is a fixed point of the discrete exponential map with base g, or equivalently h is a fix…

Counting fixed points and rooted closed walks of the singular map x↦xxn modulo powers of a prime

The Igusa local zeta function for xn+ym

Counting Fixed Points, Two-Cycles, and Collisions of the Discrete Exponential Function using p-adic Methods

Counting fixed points and rooted closed walks of the singular map $x \mapsto x^{x^{n}}$ modulo powers of a prime

The Igusa local zeta function for $x^{n} + y^{m}$