Title:
|
On Chebyshev's inequalities for Beurling's generalized primes (English) |
Author:
|
Balanzario, Eugenio P. |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
50 |
Issue:
|
4 |
Year:
|
2000 |
Pages:
|
415-436 |
. |
Category:
|
math |
. |
MSC:
|
11N80 |
idZBL:
|
Zbl 0991.11053 |
idMR:
|
MR1857298 |
. |
Date available:
|
2009-09-25T11:46:24Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131411 |
. |
Reference:
|
[1] BALANZARIO E. P.: An example in Beurling's theory of primes.Actа Arith. 87 (1998), 121-139. Zbl 1046.11072, MR 1665200 |
Reference:
|
[2] BEURLING A.: Analyse de la Loi Asymptotique de la Disribution des Nombres Premiers Génelisés.I, Actа Mаth. 68 (1937), 255-291. |
Reference:
|
[3] DIAMOND H. G.: Asymptotic distribution of Beurling's generalized integers.Illinois J. Mаth 14 (1970), 12-28. Zbl 0186.36403, MR 0252334 |
Reference:
|
[4] DIAMOND H. G.: Chebyshev estimates for Beurling generalized prime numbers.Proc. Amer. Mаth. Soc. 39 (1973), 503-508. Zbl 0268.10036, MR 0314782 |
Reference:
|
[5] ELLISON W.-ELLISON F.: Prime Numbers.Wiley-Intersci. Publ., John Wiley & Sons, New York, 1985. Zbl 0624.10001, MR 0814687 |
Reference:
|
[6] HALL R. S.: Beurling generalized prime number systems in which the Chebyshev inequalities fail.Proc. Amer. Mаth. Soc. 40 (1973), 79-82. Zbl 0264.10036, MR 0318085 |
Reference:
|
[7] ZHANG W.-B.: A Generalization of Halasz's theorem to Beurling generalized integers.Illinois J. Mаth. 31 (1987), 645-664. MR 0909789 |
. |