It takes the average reader 2 hours and 3 minutes to read Lectures on the Riemann Zeta Function by H. Iwaniec
Assuming a reading speed of 250 words per minute. Learn more
The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics. The present book consists of two parts. The first part covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood. The second part gives a complete presentation of Levinson's method for zeros on the critical line, which allows one to prove, in particular, that more than one-third of non-trivial zeros of zeta are on the critical line. This approach and some results concerning integrals of Dirichlet polynomials are new. There are also technical lemmas which can be useful in a broader context.
Lectures on the Riemann Zeta Function by H. Iwaniec is 119 pages long, and a total of 30,821 words.
This makes it 40% the length of the average book. It also has 38% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 48 minutes to read Lectures on the Riemann Zeta Function aloud.
Lectures on the Riemann Zeta Function is suitable for students ages 10 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.
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