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A general formula in Additive Number Theory

Number Theory 2007-05-23 v1

Abstract

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 difference set of the sequence, by proving a formula connecting the respective number of solutions.

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Cite

@article{arxiv.math/0207167,
  title  = {A general formula in Additive Number Theory},
  author = {Constantin M. Petridi and Peter B. Krikelis},
  journal= {arXiv preprint arXiv:math/0207167},
  year   = {2007}
}

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4 pages