35 citations · 53 across the 17 of their papers we have counts for
5 papers · 1 filter
Multidimensional Fourier Quasicrystals I. Sufficient Conditions
Wayne M. Lawton, August K. Tsikh
We derive sufficient conditions for an atomic measure where are positive integers, and is the point measure at t…
An Explanation of Mellin's 1921 Paper
Wayne Lawton
In 1921 Mellin published a Comptes Rendu paper computing the principal root of the polynomial using hypergeometric functions of its coe…
Factorization of polynomials with analytic coefficients
Wayne Lawton
We study monic univariate polynomials whose coefficients are analytic functions of a real variable and whose roots lie in a specified analytic curve. These include characteristic p…
Bose and Einstein Meet Newton
Wayne M. Lawton
We model the time evolution of a Bose-Einstein condensate, subject to a special periodically excited optical lattice, by a unitary quantum operator U on a Hilbert space H. If a cer…
Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang
Wayne Lawton
We prove that a real analytic subset of a torus group that is contained in its image under an expanding endomorphism is a finite union of translates of closed subgroups. This confi…