1 citations · 2 across the 31 of their papers we have counts for
5 papers · 2 filters
Ulam numbers have zero density
Theophilus Agama
In this paper, we show that the natural density of Ulam numbers satisfies . That is, we show that for \begin…
New bounds for the Heilbronn triangle problem
Theophilus Agama
Using ideas from the geometry of compression, we improve on the current upper and lower bounds of the Heilbronn triangle problem. In particular, let denote the minimal area…
On the pointwise periodicity of multiplicative and additive functions
Theophilus Agama
We study the problem of estimating the number of points of coincidences of an idealized gap on the set of integers under a given multiplicative function $g:\mathbb{N}\longrightarro…
On the distribution of addition chains
Theophilus Agama
Addition chains are a classical construction for fast exponentiation and related computation problems. In this paper, we study a chain for a fixed integer by decomposing each g…
The prime pairs are equidistributed among the coset lattice congruence classes
Theophilus Agama, Marco Bortolamasim, Arturo Tapia
In this paper we show that for some constant and for any there exist some such that, If then we have \begin{align} Ψ_z(x;\mathcal{N}_q(a,b…