On the proof of the prime number theorem

Jiří Čížek

Časopis pro pěstování matematiky (1981)

  • Volume: 106, Issue: 4, page 395-401
  • ISSN: 0528-2195

How to cite

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Čížek, Jiří. "On the proof of the prime number theorem." Časopis pro pěstování matematiky 106.4 (1981): 395-401. <http://eudml.org/doc/19313>.

@article{Čížek1981,
author = {Čížek, Jiří},
journal = {Časopis pro pěstování matematiky},
keywords = {two simple proofs of prime number theorem; complex integration; Wiener- Ikehara theorem; Tauberian theorem; asymptotic formula; error term},
language = {eng},
number = {4},
pages = {395-401},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the proof of the prime number theorem},
url = {http://eudml.org/doc/19313},
volume = {106},
year = {1981},
}

TY - JOUR
AU - Čížek, Jiří
TI - On the proof of the prime number theorem
JO - Časopis pro pěstování matematiky
PY - 1981
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 106
IS - 4
SP - 395
EP - 401
LA - eng
KW - two simple proofs of prime number theorem; complex integration; Wiener- Ikehara theorem; Tauberian theorem; asymptotic formula; error term
UR - http://eudml.org/doc/19313
ER -

References

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  1. Diamond H, Steiniy J., An elementary proof of the prime number theorem with a remainder term, Investigationes math. 11 (1970), 199-258. (1970) MR0280449
  2. Edwards H. M., Riemann's zeta function, Academic Press 1974. (1974) Zbl0315.10035
  3. Grosswald E., Topics from the theory of numbers, The MacMillan company 1966. (1966) Zbl0158.29501MR0228408
  4. Chandrasekharan K., Introduction to analytic number theory, Springer Verlag 1968. (1968) Zbl0169.37502MR0249348
  5. Schwartz L., Математические методы для физических наук, Moskva 1965. (1965) Zbl0158.17606
  6. Titchmarsh E. C., The theory of Riemann zeta function, Oxford: Clarendon Press 1951. (1951) Zbl0042.07901MR0046485
  7. Walfisz A., Weyl'sche Exponentialsummen in der neuere Zahlentheorie, Berlin 1963. (1963) MR0220685

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