001: Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)

0 avg rating
( 0 ratings by Goodreads )
 
9780387904375: 001: Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)

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.

"synopsis" may belong to another edition of this title.

Buy New View Book
List Price: US$ 99.00
US$ 189.67

Convert Currency

Shipping: US$ 1.99
Within U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Elliott, P.D.T.A.
Published by Springer (1979)
ISBN 10: 0387904379 ISBN 13: 9780387904375
New Hardcover Quantity Available: 1
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 1979. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110387904379

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 189.67
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

2.

P.D.T.A. Elliott
Published by Springer (1979)
ISBN 10: 0387904379 ISBN 13: 9780387904375
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Springer, 1979. Hardcover. Book Condition: New. book. Bookseller Inventory # M0387904379

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 243.22
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds