L. Jones

activity

20042023

most citedA new integral basis for the centre of the Hecke algebra of type A

3 citations · 11 across the 15 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.NT2011

Using Lucas Sequences to Generalize a Theorem of Sierpiński

Lenny Jones

In 1960, Sierpiński proved that there exist infinitely many odd positive integers $k$ such that $k \cdot 2^{n} + 1$ is composite for all positive integers $n$ . In this paper, we prove s…

math.NT2011

Polynomial Cunningham Chains

Lenny Jones

Let $ε \in {- 1, 1}$ . A sequence of prime numbers $p_{1}, p_{2}, p_{3}, ...$ , such that $p_{i} = 2 p_{i - 1} + ε$ for all $i$ , is called a {\it Cunningham chain} of the first or second kind, depen…

math.AC2011★ 2 cited

Maximal Denumerant of a Numerical Semigroup With Embedding Dimension Less Than Four

Lance Bryant, James Hamblin, Lenny Jones

Given a numerical semigroup $S =< a_{1}, a_{2}, ..., a_{t} >$ and $s \in S$ , we consider the factorization $s = c_{1} a_{1} + c_{2} a_{2} + ... + c_{t} a_{t}$ where $c_{i} \geq 0$ . Such a factorization is {…