Prime numbers and the Riemann hypothesis /

Material type: 図書

Author: -

Publisher: Cambridge University Press,

Publication date: 2016.

Material Format: Paper

Capacity, size, etc.: xi, 142 pages : ; 24 cm.

Collection: -

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Notes on use

Note (General)：: Part I. The Riemann Hypothesis. Thoughts about numbers -- What are prime numbers? -- "Named" prime numbers -- Sieves -- Questions about primes -- Furt...

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東京都立中央図書館
Paper
Call No.：
413.5-M47-P
Book Registration Number：
7109605777
東京都立中央図書館

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Paper

Material Type: 図書
ISBN: 1107101921 (hardcover ; alkaline paper)
1107499437 (paperback ; alkaline paper)
9781107101920 (hardcover ; alkaline paper)
9781107499430 (paperback ; alkaline paper)
Title: Prime numbers and the Riemann hypothesis /
Publication, Distribution, etc.: New York, NY, USA : : Cambridge University Press,
Publication Date: 2016.
Extent: xi, 142 pages : ; 24 cm.
Contributor: Barry Mazur, William Stein.
Text Language Code: eng
NDC 10th ed.: 413.5 : Analysis
Target Audience: 一般
Note (General): Part I. 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 -- Part II. 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 --- 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 -- Part IV. Back to Riemann. Building [pi](X) from the Spectrum -- As Riemann envisioned it -- Companions to the zeta function.
Availability: 閲可/個否/協可
Holding library: 東京都立中央図書館
Note (Library): 所蔵場所 : 2F開
301
Call No.: 413.5-M47-P
Data Provider (Database): 東京都立中央図書館 : 公共図書館蔵書
Bibliographic ID (SomokuID): 1352027940
7109605777
OCLC No.: 2015018981
https://www.worldcat.org/oclc/2015018981
(OCoLC)909025870
https://www.worldcat.org/oclc/(OCoLC)909025870