1 citations · 2 across the 31 of their papers we have counts for
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The Compression method and applications
Theophilus Agama
In this paper, we introduce and develop the method of compression of points in space. We introduce the notion of the mass, the rank, the entropy, the cover and the energy of compre…
The theory of the Collatz process and the method of dynamical balls
Theophilus Agama
In this paper, we introduce and develop the theory of the Collatz process and the method of dynamical balls. We leverage this theory to study the Collatz conjecture. This theory al…
Distribution of boundary points of expansion and application to the lonely runner conjecture
Theophilus Agama
In this paper, we study the distribution of the boundary points of expansion. As an application, we say something about the lonely runner problem. We show that given runners $\…
Expansivity theory and Sendov's conjecture
Theophilus Agama
In this paper we introduce and develop the concept of expansivity of a tuple whose entries are elements from the polynomial ring . As an inverse problem, we examine…
The prime index function
Theophilus Agama
In this paper we introduce the prime index function \begin{align}ι(n)=(-1)^{π(n)},\nonumber \end{align} where is the prime counting function. We study some elementary proper…
The Theory of ramification
Theophilus Agama
In this paper, we introduce and develop the concept of \emph{ramification} in a given modulus. We study some properties in relation to this concept and it's connection to some impo…
The area method and applications
Theophilus Agama
In this paper, we develop a general method for estimating correlations of the forms \begin{align} \sum \limits_{n\leq x}G(n)G(x-n)\nonumber \end{align} and \begin{align} \sum \limi…
Limited polynomials and sendov's conjecture
Theophilus Agama
In this paper we study a particular class of polynomials. We study the distribution of their zeros, including the zeros of their derivatives as well as the interaction between this…
The theta splitting function
Theophilus Agama
In this paper we study the Theta splitting function , a function defined on the positive integers. We study the distribution of this function for sufficiently large values…