2 citations · 2 across the 4 of their papers we have counts for
4 papers
An extension of the Geometric Modulus Principle to holomorphic and harmonic functions
Matt Hohertz
Kalantari's Geometric Modulus Principle describes the local behavior of the modulus of a polynomial. Specifically, if $p(z) = a_0 + \sum_{j=k}^n a_j\left(z-z_0\right)^j,\;a_0a_ka_n…
A constructive proof of the convergence of Kalantari's bound on polynomial zeros
Matt Hohertz
In his 2006 paper, Jin proves that Kalantari's bounds on polynomial zeros, indexed by and called and respectively, become sharp as . That…
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions
Matt Hohertz
In a previous paper, we introduced the Collatz polynomials , whose coefficients are the terms of the Collatz sequence of the positive integer . Our work in this paper ex…
Collatz polynomials: an introduction with bounds on their zeros
Matt Hohertz, Bahman Kalantari
The Collatz Conjecture (also known as the 3x+1 Problem) proposes that the following algorithm will, after a certain number of iterations, always yield the number 1: given a natural…