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Prime numbers and the Riemann hypothesis

Prime numbers and the Riemann hypothesis (Loan 1 times)

Material type
단행본
Personal Author
Mazur, Barry. Stein, William A., 1974-.
Title Statement
Prime numbers and the Riemann hypothesis / Barry Mazur, Harvard University, Cambridge, MA, USA, William Stein, University of Washington, Seattle, WA, USA.
Publication, Distribution, etc
New York, NY :   Cambridge University Press,   c2016.  
Physical Medium
xi, 142 p. : ill. (some col.) ; 23 cm.
ISBN
9781107101920 (hardback : alk. paper) 9781107499430 (pbk. : alk. paper)
Bibliography, Etc. Note
Includes bibliographical references and index.
Subject Added Entry-Topical Term
Riemann hypothesis. Numbers, Prime.
000 00000cam u2200205 a 4500
001 000045954750
005 20180917132445
008 180912s2016 nyua b 001 0 eng d
010 ▼a 2015018981
020 ▼a 9781107101920 (hardback : alk. paper)
020 ▼a 9781107499430 (pbk. : alk. paper)
035 ▼a (KERIS)REF000017748744
040 ▼a DLC ▼b eng ▼c DLC ▼e rda ▼d 211009
050 0 0 ▼a QA246 ▼b .M49 2015
082 0 0 ▼a 512.7/3 ▼2 23
084 ▼a 512.73 ▼2 DDCK
090 ▼a 512.73 ▼b M476p
100 1 ▼a Mazur, Barry.
245 1 0 ▼a Prime numbers and the Riemann hypothesis / ▼c Barry Mazur, Harvard University, Cambridge, MA, USA, William Stein, University of Washington, Seattle, WA, USA.
260 ▼a New York, NY : ▼b Cambridge University Press, ▼c c2016.
300 ▼a xi, 142 p. : ▼b ill. (some col.) ; ▼c 23 cm.
504 ▼a Includes bibliographical references and index.
650 0 ▼a Riemann hypothesis.
650 0 ▼a Numbers, Prime.
700 1 ▼a Stein, William A., ▼d 1974-.
945 ▼a KLPA

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.73 M476p Accession No. 121245962 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of 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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