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Probabilistic Number Theory I
P. D. T. A. Elliott
€ 140.85
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Description for Probabilistic Number Theory I
Paperback. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 393 pages, biography. BIC Classification: PBF. Category: (G) General (US: Trade). Dimension: 235 x 155 x 22. Weight in Grams: 640.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag New York Inc. United States
Number of pages
393
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
393
Place of Publication
New York, NY, United States
ISBN
9781461299912
SKU
V9781461299912
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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