Sur la différence L i θ x - π x

Guy Robin

Annales de la Faculté des sciences de Toulouse : Mathématiques (1984)

  • Volume: 6, Issue: 3-4, page 257-268
  • ISSN: 0240-2963

How to cite


Robin, Guy. "Sur la différence $Li\left( \theta \left(x \right)\right) - \pi \left( x \right)$." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.3-4 (1984): 257-268. <>.

author = {Robin, Guy},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {fre},
number = {3-4},
pages = {257-268},
title = {Sur la différence $Li\left( \theta \left(x \right)\right) - \pi \left( x \right)$},
url = {},
volume = {6},
year = {1984},

AU - Robin, Guy
TI - Sur la différence $Li\left( \theta \left(x \right)\right) - \pi \left( x \right)$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1984
VL - 6
IS - 3-4
SP - 257
EP - 268
LA - fre
UR -
ER -


  1. [DAV] H. Davenport. «Multiplicative number theory». Springer Verlag (1967). 
  2. [EDW] H.M. Edwards. «Riemann's Zeta function». Academic Press (1974). Zbl0315.10035MR466039
  3. [ELL] J. Ellison. «Les nombres premiers». HermannParis (1975). Actual. Scien. et Ind. n° 1366. Zbl0313.10001MR417077
  4. [GRO] E. Grossward. «Oscillation theorems». Conf. on the theory of arithmetic functions». SpringerLecture Notes151 (1971). Zbl0228.10026MR332685
  5. [HAR] G.H. Hardy, E.M. Wright. «An introduction to the theory of numbers». Oxford (1960). Zbl0086.25803MR67125
  6. [HAS] C.B. Haselgrove et D. Davies. «The evaluation of Dirichlet L functions». Proc. Soc. Ser. (1961) A. 264, p. 122-132. Zbl0109.03102MR136052
  7. [RAM] S. Ramunjujan. «Highly composite numbers». Proc. London Math. Soc., Ser. 2,14 (1915), p. 347-400 ; Collected papers, 78-128, Chelsea. JFM45.0286.02
  8. [ROB] G. Robin. «Estimation de la fonction de Tchebychef θ sur le kième nombre premier et grandes valeurs de la fonction w(n), nombre de diviseurs premiers de n». Acta Arithmetica, vol. 42, n° 4, (1983), p. 367-389. Zbl0475.10034MR736719
  9. [SCH] L. Schoenfeld. «Sharper bounds fo the Chebyschev fonctions θ(x) and ψ(x)». IlMath. of Comp., Vol. 30, Numb. 134, (1976) p. 337-360. Zbl0326.10037MR457374
  10. [SPI] R. Spira. «Calculation of Dirichlet L functions». Math. Comp.23 (1969), p. 489-498. Zbl0182.07001MR247742

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