| Title:
|
O elementárním důkazu prvočíselné věty (Czech) |
| Title:
|
On the elementary proof of the prime number theorem (English) |
| Title:
|
Über den elementaren Beweis des Primzahlsatzes (German) |
| Author:
|
Novák, Břetislav |
| Language:
|
Czech |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
100 |
| Issue:
|
1 |
| Year:
|
1975 |
| Pages:
|
71-84 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11N05 |
| idZBL:
|
Zbl 0298.10022 |
| idMR:
|
MR0444587 |
| DOI:
|
10.21136/CPM.1975.117869 |
| . |
| Date available:
|
2009-09-23T08:37:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117869 |
| . |
| Reference:
|
[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). MR 0154860 |
| Reference:
|
[2] Diamond H.: Asymptotic distribution of Beurling's generalized integers.Illinois J. Math. 14 (1970), 12-28. Zbl 0186.36403, MR 0252334 |
| Reference:
|
[3] Diamond H., Steinig J.: An elementary proof of the prime number theorem with a remainder term.Investitationes math. 11 (1970), 199-258. Zbl 0201.05402, MR 0280449 |
| Reference:
|
[4] Edwards H. M.: Riemann's zeta function.Academic Press 1974. Zbl 0315.10035 |
| Reference:
|
[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. MR 0029411 |
| Reference:
|
[6] Гелфонд А. О.: Аналитический метод оценки числа простых чисел в натуральном ряде и арифметической прогресии.Э. Tpocт, Простые числа, 1959. Zbl 1047.90504 |
| Reference:
|
[7] Gelfond A. O., Linnik J. V.: Elementary methods in analytic number theory.G. Allen Unwin Ltd. 1965. MR 0188135 |
| Reference:
|
[8] Hardy G. H.: Ramanujan.Cambridge University Press 1940. Zbl 0025.10505 |
| Reference:
|
[9] Chandrasekharan K: Introduction to analytic number theory.Springer 1968. Zbl 0169.37502, MR 0249348 |
| Reference:
|
[10] Chandrasekharan K: Arithmetical functions.Springer 1970. Zbl 0217.31602, MR 0277490 |
| Reference:
|
[11] Jarník V.: Vybrané partie z analytické teorie čísel.SPN 1975. |
| Reference:
|
[12] Лаврик А. Ф., Цобиров А. Ш.: Об остаточном числе в елементарном доказательстве теоремы о простых числах.ДAH 211 (1973), 534-536. Zbl 1131.90321, MR 0323736 |
| Reference:
|
[13] Levinson N: A motivated account of an elementary proof of the prime number theorem.Amer. Math. Monthly 76 (1969), 225-245. Zbl 0172.06001, MR 0241372 |
| Reference:
|
[14] Pracher K.: Prinzahlverteilung.Springer 1957. |
| Reference:
|
[15] Selberg A.: An elementary proof of the prime number theorem.Ann. of Math. (2) 50 (1949), 305-313. Zbl 0036.30604, MR 0029410 |
| Reference:
|
[16] Specht W.: Elementare Beweise der Primzhalsätze.Berlin 1956. MR 0086829 |
| Reference:
|
[17] Walfisz A.: Weyl'sche Exponentialsummen in der neueren Zahlentheorie.Berlin 1963. MR 0220685 |
| Reference:
|
[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. MR 0150116 |
| Reference:
|
[19] Novák B.: Vybrané partie z teorie čísel.SPN 1972. |
| . |
