2 citations · 4 across the 7 of their papers we have counts for
7 papers
Connectivity of Markoff mod-p graphs and maximal divisors
Jillian Eddy, Elena Fuchs, Matthew Litman +2
Markoff mod- graphs are conjectured to be connected for all primes . In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all…
Every arithmetic progression contains infinitely many -Niven numbers
Joshua Harrington, Matthew Litman, Tony W. H. Wong
For an integer , a positive integer is called a -Niven number if it is a multiple of the sum of the digits in its base- representation. In this article, we show that…
Orbits on K3 Surfaces of Markoff Type
Elena Fuchs, Matthew Litman, Joseph H. Silverman +1
Let be a surface given by the vanishing of a -form. These surfaces admit three involutions coming from…
Asymptotic Density of Apollonian-Type Packings
Matthew Litman, Arseniy Sheydvasser
We consider two seemingly unconnected problems: first, under what circumstances are arithmetic groups like SL(2,O) generated by elementary matrices; second, when do certain classes…
A Cryptographic Hash Function from Markoff Triples
Elena Fuchs, Kristin Lauter, Matthew Litman +1
Cryptographic hash functions from expander graphs were proposed by Charles, Goren, and Lauter in [CGL] based on the hardness of finding paths in the graph. In this paper, we propos…
Residue sums of Dickson polynomials over finite fields
Thomas Brazelton, Joshua Harrington, Matthew Litman +1
Given a polynomial with integral coefficients, one can inquire about the possible residues it can take in its image modulo a prime . The sum over the distinct residues can somet…
Möbius Disjointness for Skew Products on the Heisenberg Nilmanifold
Matthew Litman, Zhiren Wang
We prove that the Möbius function is disjoint to all Lipschitz continuous skew product dynamical systems on the 3-dimensional Heisenberg nilmanifold over a minimal rotation of the…