7 citations · 7 across the 6 of their papers we have counts for
6 papers · 1 filter
Distribution of the Error in Estimated Numbers of Fixed Points of the Discrete Logarithm
Joshua Holden
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for the discrete logarithm with base g? The author and Pieter Moree, building on work…
Some Heuristics and Results for Small Cycles of the Discrete Logarithm
Joshua Holden, Pieter Moree
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for the discrete logarithm with base g? The first author previously extended this que…
New Conjectures and Results for Small Cycles of the Discrete Logarithm
Joshua Holden, Pieter Moree
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for the discrete logarithm with base g? The first author previously extended this que…
Addenda/Corrigenda: Fixed Points and Two-cycles of the Discrete Logarithm
Joshua Holden
The abstract of the original paper was as follows: We explore some questions related to one of Brizolis: does every prime p have a pair (g,h) such that h is a fixed point for the d…
Notes on an analogue of the Fontaine-Mazur conjecture
Jeffrey D. Achter, Joshua Holden
We estimate the proportion of function fields satisfying certain conditions which imply a function-field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the f…
Abelian varieties over finite fields with a specified characteristic polynomial modulo l
Joshua Holden
We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial P(T) modulo l. As an application we find the propo…