Showing 2017Show all
2 papers · 1 filter
math.NT2017
On the Structure of Additive Systems of Integers
M. N. Huxley, M. C. Lettington, K. M. Schmidt
A sum-and-distance system is a collection of finite sets of integers such that the sums and differences formed by taking one element from each set generate a prescribed arithmetic…
math.NT2017
Binomial Polynomials mimicking Riemann's Zeta Function
Mark W. Coffey, Matthew C. Lettington
The (generalised) Mellin transforms of certain Chebyshev and Gegenbauer functions based upon the Chebyshev and Gegenbauer polynomials, have polynomial factors , whose zeros…