2 citations · 4 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…