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HAWAII STATE PUBLIC LIBRARY SYSTEM
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Mazur, Barry, author.
Subjects
Riemann hypothesis.
Numbers, Prime.
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by author:
Mazur, Barry, author.
by title:
Prime numbers and th...
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Prime numbers and the Riemann hypothesis / Barry Mazur, Harvard University, Cambridge, MA, USA, William Stein, University of Washington, Seattle, WA, USA.
by
Mazur, Barry, author.
New York, NY : Cambridge University Press, 2016.
Subjects
Riemann hypothesis.
Numbers, Prime.
ISBN:
9781107101920
1107101921
9781107499430 (paperback)
1107499437 (paperback)
Description:
xi, 142 pages ; illustrations (some color) ; 23 cm.
Contents:
The Riemann Hypothesis. Thoughts about numbers ; What are prime numbers? ; "Named" prime numbers ; Sieves ; Questions about primes ; Further questions about primes ; How many primes are there? ; Prime numbers viewed from a distance ; Pure and applied mathematics ; A probabilistic first guess ; What is a "good approximation" ; Square root error and random walks ; What is Riemann's Hypothesis ; The mystery moves to the error term ; Cesàro smoothing ; A view of Li(X) - [pi](X) ; The prime number theorem ; The staircase of primes ; Tinkering with the staircase of primes ; Computer music files and prime numbers ; The word "spectrum" ; Spectra and trigonometric sums ; The spectrum and the staircase of primes ; To our readers of Part I -- Distributions. Slopes of graphs that have no slopes ; Distributions ; Fourier Transforms : second visit ; Fourier Transform of delta ; Trigonometric series ; A sneak preview of Part III --- The Riemann Spectrum of prime numbers. On losing no information ; From primes to the Riemann Spectrum ; How many [theta][subscript i]'s are there? ; Further questions about the Riemann Spectrum ; From the Riemann Spectrum to primes -- Back to Riemann. Building [pi](X) from the Spectrum ; As Riemann envisioned it ; Companions to the zeta function.
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Hawaii State Library
Business, Science & Technology
512.73 Ma
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