On the Dirichlet divisor problem in short intervals
  We present several new results involving $\Delta(x+U)-\Delta(x)$, where $U = o(x)$ and $$ \Delta(x):=\sum_{n\le x}d(n)-x\log x-(2\gamma-1)x $$ is the error term in the classical Dirichlet divisor problem. 
Aleksandar Ivic, Wenguang Zhai
math.NT