Bernhard Riemann's eight-page paper entitled "On the Number of Primes Less Than a Given Magnitude" was a landmark publication of 1859 that directly influenced generations of great mathematicians, among them Hadamard, Landau, Hardy, Siegel, Jensen, Bohr, Selberg, Artin, and Hecke. This text, by a noted mathematician and educator, examines and amplifies the paper itself, and traces the developments in theory inspired by it. (An English translation of the original document appears in the Appendix.)
Topics include Riemann's main formula, the prime number theorem, de la Vallée Poussin's theorem, numerical analysis of roots by Euler-Maclaurin summation, the Riemann-Siegel formula, largescale computations, Fourier analysis, zeros on the line, the Riemann hypothesis and Farey series, alternative proof of the integral formula, Tauberian theorems, Chebyshev's identity, and other related topics.
This inexpensive edition of Edwards' superb high-level study will be welcomed by students and mathematicians. Mathematically inclined general readers will likewise value this influential classic.
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Descrizione libro Academic Press Inc, 1999. Condizione libro: Poor. Volume 58. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Riemann's Zeta Function. Codice libro della libreria 5212349
Descrizione libro Academic Press, 1974. Condizione libro: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP36657163
Descrizione libro Academic Press, 1974. Hardcover. Condizione libro: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Codice libro della libreria mon0000703925
Descrizione libro Academic Press, 1974. Hardcover. Condizione libro: Very Good. Great condition with minimal wear, aging, or shelf wear. Codice libro della libreria P020122327500
Descrizione libro Academic Press, 1974. Hardcover. Condizione libro: Good. 0. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. Codice libro della libreria 0122327500