$\Omega$-theorem for short trigonometric sum
  We obtain in this paper new application of the classical E.C. Titchmarsh' discrete method (1934) in the theory of the Riemann $\zf$ - function. Namely, we shall prove the first localized $\Omega$-theorem for short trigonometric sum. This paper is the English version of the work of reference \cite{4}. 
Jan Moser
math.CA