77 citations · 81 across the 14 of their papers we have counts for
14 papers
On a Family of Twisted Trace Curves over Finite Fields, and Fibonacci Numbers
Robin Chapman, Gary McGuire
We present some results about the number of rational points on a certain family of curves defined over a finite field. In a small number of cases the curves have more rational poin…
Divisibility of L-Polynomials for a Family of Curves
Ivan Blanco Chacon, Robin Chapman, Stiofain Fordham +1
We consider the question of when the L-polynomial of one curve divides the L-polynomial of another curve. A theorem of Tate gives an answer in terms of jacobians. We consider the q…
Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields
Francis N. Castro, Robin Chapman, Luis A. Medina +1
Rotation symmetric Boolean functions are invariant under circular translation of indices. These functions have very rich cryptographic properties and have been used in different cr…
Two closed forms for the Bernoulli polynomials
Feng Qi, Robin J. Chapman
In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomia…
Simple formulas for lattice paths avoiding certain periodic staircase boundaries
Robin J. Chapman, Timothy Y. Chow, Amit Khetan +2
There is a strikingly simple classical formula for the number of lattice paths avoiding the line x = ky when k is a positive integer. We show that the natural generalization of thi…
A conjecture of Stanley on alternating permutations
Robin Chapman, Lauren K. Williams
We give two simple proofs of a conjecture of Richard Stanley concerning the equidistribution of derangements and alternating permutations with the maximal number of fixed points.