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Probabilistic Number Theory II
P. D. T. A. Elliott
€ 128.84
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Description for Probabilistic Number Theory II
paperback. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 375 pages, biography. BIC Classification: PBH. Category: (G) General (US: Trade). Dimension: 235 x 155 x 21. Weight in Grams: 611.
In this volume we study the value distribution of arithmetic functions, allowing unbounded renormalisations. The methods involve a synthesis of Probability and Number Theory; sums of independent infinitesimal random variables playing an important role. A central problem is to decide when an additive arithmetic function fin) admits a renormalisation by real functions a(x) and {3(x) > 0 so that asx ~ 00 the frequencies vx(n;f (n) - a(x) :s;; z {3 (x) ) converge weakly; (see Notation). In contrast to volume one we allow {3(x) to become unbounded with x. In particular, we investigate to what extent one can simulate ... Read more
In this volume we study the value distribution of arithmetic functions, allowing unbounded renormalisations. The methods involve a synthesis of Probability and Number Theory; sums of independent infinitesimal random variables playing an important role. A central problem is to decide when an additive arithmetic function fin) admits a renormalisation by real functions a(x) and {3(x) > 0 so that asx ~ 00 the frequencies vx(n;f (n) - a(x) :s;; z {3 (x) ) converge weakly; (see Notation). In contrast to volume one we allow {3(x) to become unbounded with x. In particular, we investigate to what extent one can simulate ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag New York Inc. United States
Number of pages
375
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
375
Place of Publication
New York, NY, United States
ISBN
9781461299943
SKU
V9781461299943
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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