Probabilistic Number Theory I : Mean-Value Theorems
Language: English
Published by Humana, 2011
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 127.56
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Add to basketItem description from seller
nach der Bestellung gedruckt Neuware - Printed after ordering - In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, . Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '' --'';''-'---'::--:-'-,- (x-.oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy.…
Seller Inventory # 9781461299912
- Title
- Probabilistic Number Theory I : Mean-Value Theorems
- Author
- P. D. T. A. Elliott
- Publisher
- Humana
- Publication year
- 2011
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1461299918
- ISBN 13
- 9781461299912
- Item weight
- 633 grams
- Dimensions
- 235x155x23 mm
"Synopsis" may belong to another edition of this title.
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