arXiv subjects

James Haley III

Publications and source records attributed to James Haley III.

2 recordsLinked to original sources

arXiv2014

The non-existence of cubic Legendre multiplier sequences

The main result in this paper is the proof of the recently conjectured non-existence of cubic Legendre multiplier sequences. We also give an alternative proof of the non-existence of linear Legendre multiplier sequences, using a method that will allow for a more methodical treatment of sequences interpolated by higher degree polynomials.

math.CV↗

arXiv2013

Convergence and generalization of a recursion equation for primes

The main result is a generalization of Keller's recursion equation for finding a prime number given the previous primes. We also examine the convergence of the limit in Keller's equation and the convergence of the limit in the general equation. The latter is dependent on the choice of L-function.

math.NT↗