How Long to Read Arithmetic Functions and Integer Products

How Long Does it Take to Read Arithmetic Functions and Integer Products?

It takes the average reader 7 hours and 42 minutes to read Arithmetic Functions and Integer Products by P.D.T.A. Elliott

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

Description

Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni exceeds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x». Except for a renormalization this is the well-known function of Shannon. What do these results have in common? They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory.

How long is Arithmetic Functions and Integer Products?

Arithmetic Functions and Integer Products by P.D.T.A. Elliott is 461 pages long, and a total of 115,711 words.

This makes it 156% the length of the average book. It also has 141% more words than the average book.

How Long Does it Take to Read Arithmetic Functions and Integer Products Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 32 minutes to read Arithmetic Functions and Integer Products aloud.

What Reading Level is Arithmetic Functions and Integer Products?

Arithmetic Functions and Integer Products 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 Arithmetic Functions and Integer Products?

Arithmetic Functions and Integer Products 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.

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