%0 Journal Article %A Enflo, Per H. %A Gurariy, Vladimir %A Seoane-SepĂșlveda, Juan B. %T On Montgomery's conjecture and the distribution of Dirichlet sums %D 2014 %@ 0022-1236 %U https://hdl.handle.net/20.500.14352/33614 %X A new version of Montgomery's conjecture (1971) on the estimation of Dirichlet sums is disproved by means of a modification of the idea of "short sums" (due to Bourgain, 1991). We also study the distribution of the values of Dirichlet's "long sums". %~