How Long to Read Probabilistic Number Theory I

How Long Does it Take to Read Probabilistic Number Theory I?

It takes the average reader 6 hours and 37 minutes to read Probabilistic Number Theory I by P.D.T.A. Elliott

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Probabilistic Number Theory I?

Probabilistic Number Theory I by P.D.T.A. Elliott is 393 pages long, and a total of 99,429 words.

This makes it 133% the length of the average book. It also has 122% more words than the average book.

How Long Does it Take to Read Probabilistic Number Theory I Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 3 minutes to read Probabilistic Number Theory I aloud.

What Reading Level is Probabilistic Number Theory I?

Probabilistic Number Theory I is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Probabilistic Number Theory I?

Probabilistic Number Theory I by P.D.T.A. Elliott is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Probabilistic Number Theory I by P.D.T.A. Elliott on Amazon click the button below.