Riemann’s zeta function. Unabridged reprint of the 1974 original. (English) Zbl 1113.11303

Edwards, H. M.

Mineola, NY: Dover Publications (ISBN 0-486-41740-9/pbk). xiii, 315 p. (2001).

From the publisher’s description: 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,” [Mitt. Königl. Preuss. Akad. Wiss. Berlin 1859, 671–680 (1860); Werke p. 136] 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. An English translation of Riemann’s original document appears in the Appendix.
For the review of the original (1974) by E. Grosswald see Zbl 0315.10035.

MSC:

11M06	\(\zeta (s)\) and \(L(s, \chi)\)
11-02	Research exposition (monographs, survey articles) pertaining to number theory
11-03	History of number theory

Citations:

Zbl 0315.10035