On Chebyshev's inequalities for Beurling's generalized primes

Eugenio P. Balanzario

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 4, page 415-436
  • ISSN: 0232-0525

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Balanzario, Eugenio P.. "On Chebyshev's inequalities for Beurling's generalized primes." Mathematica Slovaca 50.4 (2000): 415-436. <http://eudml.org/doc/32148>.

@article{Balanzario2000,
author = {Balanzario, Eugenio P.},
journal = {Mathematica Slovaca},
keywords = {Beurling generalized prime numbers; Chebyshev type estimates},
language = {eng},
number = {4},
pages = {415-436},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On Chebyshev's inequalities for Beurling's generalized primes},
url = {http://eudml.org/doc/32148},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Balanzario, Eugenio P.
TI - On Chebyshev's inequalities for Beurling's generalized primes
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 4
SP - 415
EP - 436
LA - eng
KW - Beurling generalized prime numbers; Chebyshev type estimates
UR - http://eudml.org/doc/32148
ER -

References

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  1. BALANZARIO E. P., An example in Beurling's theory of primes, Actа Arith. 87 (1998), 121-139. (1998) Zbl1046.11072MR1665200
  2. BEURLING A., Analyse de la Loi Asymptotique de la Disribution des Nombres Premiers Génelisés, I, Actа Mаth. 68 (1937), 255-291. (1937) 
  3. DIAMOND H. G., Asymptotic distribution of Beurling's generalized integers, Illinois J. Mаth 14 (1970), 12-28. (1970) Zbl0186.36403MR0252334
  4. DIAMOND H. G., Chebyshev estimates for Beurling generalized prime numbers, Proc. Amer. Mаth. Soc. 39 (1973), 503-508. (1973) Zbl0268.10036MR0314782
  5. ELLISON W.-ELLISON F., Prime Numbers, Wiley-Intersci. Publ., John Wiley & Sons, New York, 1985. (1985) Zbl0624.10001MR0814687
  6. HALL R. S., Beurling generalized prime number systems in which the Chebyshev inequalities fail, Proc. Amer. Mаth. Soc. 40 (1973), 79-82. (1973) Zbl0264.10036MR0318085
  7. ZHANG W.-B., A Generalization of Halasz's theorem to Beurling generalized integers, Illinois J. Mаth. 31 (1987), 645-664. (1987) MR0909789

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