Lectures On The Riemann Zeta Function
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Author |
: H. Iwaniec |
Publisher |
: American Mathematical Society |
Total Pages |
: 130 |
Release |
: 2014-10-07 |
ISBN-10 |
: 9781470418519 |
ISBN-13 |
: 1470418517 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Lectures on the Riemann Zeta Function by : H. Iwaniec
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.
Author |
: Komaravolu Chandrasekharan (mathematician) |
Publisher |
: |
Total Pages |
: 304 |
Release |
: 1953 |
ISBN-10 |
: OCLC:11765289 |
ISBN-13 |
: |
Rating |
: 4/5 (89 Downloads) |
Synopsis Lectures on the Riemann Zeta-function by : Komaravolu Chandrasekharan (mathematician)
Author |
: A. Ivić |
Publisher |
: Springer |
Total Pages |
: 388 |
Release |
: 1991 |
ISBN-10 |
: STANFORD:36105008878543 |
ISBN-13 |
: |
Rating |
: 4/5 (43 Downloads) |
Synopsis Lectures on Mean Values of the Riemann Zeta Function by : A. Ivić
Author |
: Komaravolu Chandrasekharan |
Publisher |
: |
Total Pages |
: 390 |
Release |
: 1962 |
ISBN-10 |
: STANFORD:36105031170876 |
ISBN-13 |
: |
Rating |
: 4/5 (76 Downloads) |
Synopsis Lectures on the Riemann Zeta-function by : Komaravolu Chandrasekharan
Author |
: K. Ramachandra |
Publisher |
: |
Total Pages |
: 200 |
Release |
: 1995 |
ISBN-10 |
: UCSD:31822023639958 |
ISBN-13 |
: |
Rating |
: 4/5 (58 Downloads) |
Synopsis Lectures on the Mean-value and Omega-theorems for the Riemann Zeta-function by : K. Ramachandra
Author |
: Komaravolu Chandrasekharan (Mathematician, India, Switzerland) |
Publisher |
: |
Total Pages |
: 152 |
Release |
: 1953 |
ISBN-10 |
: OCLC:637795764 |
ISBN-13 |
: |
Rating |
: 4/5 (64 Downloads) |
Synopsis Lectures on the Riemann Zeta-Function by : Komaravolu Chandrasekharan (Mathematician, India, Switzerland)
Author |
: Barry Mazur |
Publisher |
: Cambridge University Press |
Total Pages |
: 155 |
Release |
: 2016-04-11 |
ISBN-10 |
: 9781107101920 |
ISBN-13 |
: 1107101921 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Prime Numbers and the Riemann Hypothesis by : Barry Mazur
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Author |
: Harold M. Edwards |
Publisher |
: Courier Corporation |
Total Pages |
: 338 |
Release |
: 2001-01-01 |
ISBN-10 |
: 0486417409 |
ISBN-13 |
: 9780486417400 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Riemann's Zeta Function by : Harold M. Edwards
Superb high-level study of one of the most influential classics in mathematics examines landmark 1859 publication entitled “On the Number of Primes Less Than a Given Magnitude,” and traces developments in theory inspired by it. Topics include Riemann's main formula, the prime number theorem, the Riemann-Siegel formula, large-scale computations, Fourier analysis, and other related topics. English translation of Riemann's original document appears in the Appendix.
Author |
: Kanakanahalli Ramachandra |
Publisher |
: |
Total Pages |
: 40 |
Release |
: 1979 |
ISBN-10 |
: UCAL:B4249722 |
ISBN-13 |
: |
Rating |
: 4/5 (22 Downloads) |
Synopsis Riemann Zeta-function by : Kanakanahalli Ramachandra
Author |
: A. Ivic |
Publisher |
: |
Total Pages |
: 363 |
Release |
: 1991 |
ISBN-10 |
: OCLC:927900361 |
ISBN-13 |
: |
Rating |
: 4/5 (61 Downloads) |
Synopsis Lectures on Mean Values of the Riemann Zeta Function by : A. Ivic