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Comonotone approximation with interpolation at the ends on an interval

✍ Scribed by G. A. Dzyubenko

Publisher
Springer
Year
2006
Tongue
English
Weight
171 KB
Volume
22
Category
Article
ISSN
1573-8175

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On the amplitude of intervals of natural
On the amplitude of intervals of natural numbers whose every element has a common prime divisor with at least an extremity
✍ Patrick CΓ©gielski; FranΓ§ois Heroult; Denis Richard πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 203 KB

An interval [a; a + d] of natural numbers veriΓΏes the property of no coprimeness if and only if every element a + 1; a + 2; : : : ; a + d -1 has a common prime divisor with extremity a or a + d. We show the set of such a and the set of such d are recursive. The computation of the ΓΏrst d leads to ris