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Prime Numbers and the Riemann Hypothesis by Barry Mazur, William Stein

• Prime Numbers and the Riemann Hypothesis
• Barry Mazur, William Stein
• Page: 150
• Format: pdf, ePub, mobi, fb2
• ISBN: 9781107499430
• Publisher: Cambridge University Press

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Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann Hypothesis, which remains to be one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann Hypothesis. Students with minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann Hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann Hypothesis.

Prime numbers
Primes are often known as the building blocks of numbers, since they The Riemann Hypothesis was Problem 8 of Hilbert's 1900 list of unsolved problems. Riemann's 1859 Manuscript | Clay Mathematics Institute
Riemann gave a formula for the number of primes less than x in terms the The Riemann hypothesis was one of the famous Hilbert problems — number eight of   Q: What is the Riemann Hypothesis? Why is it so important? | Ask a
is related to prime numbers (and thus, why the Riemann hypothesis in related to primes) is to re-write zeta (s) in the form of an infinite product,  Prime Numbers and the Riemann Hypothesis: Amazon.de: Barry
Prime Numbers and the Riemann Hypothesis: Amazon.de: Barry Mazur, William Stein: Fremdsprachige Bücher. Prime number theorem - Wikipedia, the free encyclopedia
In number theory, the prime number theorem (PNT) describes the asymptotic and π(x), the Riemann hypothesis has considerable importance in number 

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