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Complex Circles of Partition and the Expansion Principles
Berndt Gensel, Theophilus Agama
In this paper, we further develop the theory of circles of partition by introducing the notion of complex circles of partition. This work generalizes the classical framework, exten…
math.GM2026
Studies in Additive Number Theory by Circles of Partition
Theophilus Agama, Berndt Gensel
In this paper, we introduce and develop the circle embedding method. This method hinges essentially on a combinatorial-geometric structure which we choose to call circles of partit…
math.GM2025
On The Infinitude of the Twin Primes
Berndt Gensel
We present a novel approach to the Twin Prime Conjecture, basing on the representation of primes. By defining so-called twin prime generators , for which both…