5 papers
Residues of Terms of Lucas Sequences Modulo
J. C. Saunders, R. Nicholas Stephens
The Fibonacci sequence defined by , , and has a shortest period length of modulo for every . In 2011, Bun…
Exploiting degeneracy in projective geometric algebra
John Bamberg, Jeff Saunders
The last two decades, since the seminal work of Selig, has seen projective geometric algebra (PGA) gain popularity as a modern coordinate-free framework for doing classical Euclide…
Runs of integers with constant values of the Carmichael function
Noah Lebowitz-Lockard, J. C. Saunders
In 2023, the first author and Vandehey proved that the largest for which the string of equalities holds for some , where is the Carmi…
A Model of Random Industrial SAT
Dina Barak-Pelleg, Daniel Berend, J. C. Saunders
One of the most studied models of SAT is random SAT. In this model, instances are composed from clauses chosen uniformly randomly and independently of each other. This model may be…
Sieve Methods in Random Graph Theory
Yu-Ru Liu, J. C. Saunders
In this paper, we apply the Turan sieve and the simple sieve developed by R. Murty and the first author to study problems in random graph theory. In particular, we obtain upper and…