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1 results

  • Sur la répartition des valeurs de la fonction d‘Euler

  • MICHEL BALAZARD, GÉRALD TENENBAUM
  • Journal:
    Compositio Mathematica / Volume 110 / Issue 2 / January 1998
    Published online by Cambridge University Press:
    04 December 2007, pp. 239-250
    Print publication:
    January 1998
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  • Let Φ(x) denote the number of those integers n with φ(n)[les ] x, where φ denotes the Euler function. Improving on a well-known estimate of Bateman (1972), we show that Φ(x)-Ax [Lt] R(x), where A=ζ(2)ζ(3)/ζ(6) and R(x) is essentially of the size of the best available estimate for the remainder term in the prime number theorem.