TY - JOUR AU - Enflo, Per H. AU - Gurariy, Vladimir AU - Seoane SepĂșlveda, Juan Benigno PY - 2014 DO - 10.1016/j.jfa.2014.04.001 SN - 0022-1236 UR - https://hdl.handle.net/20.500.14352/33614 T2 - Journal of Functional Analysis AB - 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". LA - eng M2 - 1241 PB - Elsevier KW - Montgomery's conjecture KW - Dirichlet sums KW - Number theory TI - On Montgomery's conjecture and the distribution of Dirichlet sums TY - journal article VL - 267 ER -