The table of integrals  contains a large variety of definite integrals that involve the Riemann zeta function
(2.1.1) ζ(s) = ∞∑ n=1
The series converges for Re s > 1. This is a classical function that plays an important role in the distribution
of prime numbers. The reader will find in  a historical description of the fundamental properties of ζ(s). The textbook  presents interesting information about the major open question related to ζ(s): all its non-trivial zeros are on the vertical line Re s = 12 . This is the famous Riemann hypothesis.