An Explicit Formula Relating Stieltjes Constants and Li's Numbers
  In this paper we present a new formula relating Stieltjes numbers $\gamma _{n}$ and Laurent coefficinets $\eta_{n}$ of logarithmic derivative of the Riemann's zeta function. Using it we derive an explicit formula for the oscillating part of Li's numbers $\overset{\sim}{\lambda}_{n}$ which are connected with the Riemann hypothesis. 
Krzysztof Maslanka