On the elementary proof of the prime number theorem

Břetislav Novák

Časopis pro pěstování matematiky (1975)

  • Volume: 100, Issue: 1, page 71-84
  • ISSN: 0528-2195

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Novák, Břetislav. "O elementárním důkazu prvočíselné věty." Časopis pro pěstování matematiky 100.1 (1975): 71-84. <http://eudml.org/doc/21235>.

@article{Novák1975,
author = {Novák, Břetislav},
journal = {Časopis pro pěstování matematiky},
language = {cze},
number = {1},
pages = {71-84},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {O elementárním důkazu prvočíselné věty},
url = {http://eudml.org/doc/21235},
volume = {100},
year = {1975},
}

TY - JOUR
AU - Novák, Břetislav
TI - O elementárním důkazu prvočíselné věty
JO - Časopis pro pěstování matematiky
PY - 1975
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 100
IS - 1
SP - 71
EP - 84
LA - cze
UR - http://eudml.org/doc/21235
ER -

References

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  1. Bombieri E., Sulle formule di A. Selberg generalizzate per classi di funzioni aritmetiche e le applicazioni al problema del resto nel „Primzahlsatz", Riv. Mat. Univ. Parma (2) 3, 393-440 (1962). (1962) MR0154860
  2. Diamond H., Asymptotic distribution of Beurling's generalized integers, Illinois J. Math. 14 (1970), 12-28. (1970) Zbl0186.36403MR0252334
  3. Diamond H., Steinig J., An elementary proof of the prime number theorem with a remainder term, Investitationes math. 11 (1970), 199-258. (1970) Zbl0201.05402MR0280449
  4. Edwards H. M., Riemann's zeta function, Academic Press 1974. (1974) Zbl0315.10035
  5. Erdös P., On a new method in elementary number theory which leads to an elementary proof of the prime number theorem, Proc. Nat. Acad. Sci. USA 35 (1949), 379-384. (1949) MR0029411
  6. Гелфонд А. О., Аналитический метод оценки числа простых чисел в натуральном ряде и арифметической прогресии, Э. Tpocт, Простые числа, 1959. (1959) Zbl1047.90504
  7. Gelfond A. O., Linnik J. V., Elementary methods in analytic number theory, G. Allen Unwin Ltd. 1965. (1965) MR0188135
  8. Hardy G. H., Ramanujan, Cambridge University Press 1940. (1940) Zbl0025.10505
  9. Chandrasekharan K, Introduction to analytic number theory, Springer 1968. (1968) Zbl0169.37502MR0249348
  10. Chandrasekharan K, Arithmetical functions, Springer 1970. (1970) Zbl0217.31602MR0277490
  11. Jarník V., Vybrané partie z analytické teorie čísel, SPN 1975. (1975) 
  12. Лаврик А. Ф., Цобиров А. Ш., Об остаточном числе в елементарном доказательстве теоремы о простых числах, ДAH 211 (1973), 534-536. (1973) Zbl1131.90321MR0323736
  13. Levinson N, A motivated account of an elementary proof of the prime number theorem, Amer. Math. Monthly 76 (1969), 225-245. (1969) Zbl0172.06001MR0241372
  14. Pracher K., Prinzahlverteilung, Springer 1957. (1957) 
  15. Selberg A., An elementary proof of the prime number theorem, Ann. of Math. (2) 50 (1949), 305-313. (1949) Zbl0036.30604MR0029410
  16. Specht W., Elementare Beweise der Primzhalsätze, Berlin 1956. (1956) MR0086829
  17. Walfisz A., Weyl'sche Exponentialsummen in der neueren Zahlentheorie, Berlin 1963. (1963) MR0220685
  18. Wirsing E., Elementare Beweise des Primzahlsatzes mit Restglied I, II., J. Reine Angew. Math. 211, 3/4 (1962), 205-214, 214/215 (1964), 1-18. (1962) MR0150116
  19. Novák B., Vybrané partie z teorie čísel, SPN 1972. (1972) 

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