Sur la distribution des nombres premiers

  title={Sur la distribution des nombres premiers},
  author={Helge von Koch},
  journal={Acta Mathematica},
  • H. V. Koch
  • Published 1 December 1901
  • Mathematics
  • Acta Mathematica
New estimates for some integrals of functions defined over primes
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Let p be a prime number. In this thesis we prove the following theorems. Theorem -1.0.1. Let x0 ≥ 4·1018 be a fixed constant and let x > x0. Then there exists at least one prime p such that (1 −∆−1)x