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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
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Category: math
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MSC: 11N80
idZBL: Zbl 0991.11053
idMR: MR1857298
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Date available: 2009-09-25T11:46:24Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131411
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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
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