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math.GM2020
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.GM2020
On the Erdős-Turán additive base conjecture
Theophilus Agama
In this paper, we formulate and prove several variants of the Erdős-Turán additive bases conjecture.
math.GM2020
The spanning method and the Lehmer totient problem
Theophilus Agama
In this paper, we introduce and develop the notion of spanning of integers along functions . We apply this method to a class of problems tha…