Constantin M. Petridi

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20012003

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math.NT2003

The abc-conjecture is true for at least $N (c), 1 \leq N (c) < ϕ (c) /2$ , partitions a, b of c

Constantin M. Petridi

We prove that for any positive integer c there are at least N(c), $1 \leq N (c) < ϕ (c) /2$ 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…

The abc-conjecture is true for at least N(c),1≤N(c)<ϕ(c)/2, partitions a, b of c

A general formula in Additive Number Theory

The abc-conjecture is true for at least $N (c), 1 \leq N (c) < ϕ (c) /2$ , partitions a, b of c