3 papers
math.NT2003
The abc-conjecture is true for at least , partitions a, b of c
Constantin M. Petridi
We prove that for any positive integer c there are at least N(c), representations of c as a sum of two positive integers a, b, with no common divisor, such th…
math.NT2002
A general formula in Additive Number Theory
Constantin M. Petridi, Peter B. Krikelis
We reduce the principal problem of Additive Number Theory of whether an infinite sequence of integers constitutes a finite basis for the integers to a Diophantine problem involving…
math.RA2001
Mathematical Structures Defined by Identities
Constantin M. Petridi, P. B. Krikelis
We propound the thesis that there is a limitation to the number of possible structures which are axiomatically endowed with identities involving operations. In the case of algebras…