Current ConditionsObserved at: Clearwater 7:00 PM PDT Saturday 2 September 2017. 1  Past 24 hours Past 24 hours. 2  Radar. 3  Satellite. 4  Lightning.
Riemann zeta function for nonnegative even integers. The Riemann zeta function for negative even integers is 0 (those are the trivial zeros of the Riemann zeta function). The Riemann zeta function for nonnegative even integers is given by (note that is the only rational number for nonnegative even integers) where are the Bernoulli numbers.
Products of integrable functions. From the linearity of the Riemann-Stieltjes integral in the integrand, we know that the collection of functions that are integrable with respect to a given integrator over a given interval form a real vector space.