Riemann’s Zeta function

H. M. Edwards0122327500, 9780486417400, 9780122327506, 9780080873732, 0486417409

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.