Some identities for the Riemann zeta-function

Aleksandar Ivic
2003 Publikacija Elektrotehnickog fakulteta - serija matematika  
Several identities for the Riemann zeta-function ζ(s) are proved. For example, if s = σ + it and σ > 0, then ∞ −∞ 1 4 + t 2 = π log 2. 2000 Mathematics Subject Classification: 11M06
doi:10.2298/petf0314020i fatcat:ede34whqoferfjl2xfhltawloy