RT Journal Article T1 On Montgomery's conjecture and the distribution of Dirichlet sums A1 Enflo, Per H. A1 Gurariy, Vladimir A1 Seoane-SepĂșlveda, Juan B. 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". PB Elsevier SN 0022-1236 YR 2014 FD 2014-08 LK https://hdl.handle.net/20.500.14352/33614 UL https://hdl.handle.net/20.500.14352/33614 LA eng DS Docta Complutense RD 8 may 2024