On Montgomery's conjecture and the distribution of Dirichlet sums

Enflo, Per H.Gurariy, VladimirSeoane Sepúlveda, Juan Benigno2023-06-192023-06-192014-080022-123610.1016/j.jfa.2014.04.001https://hdl.handle.net/20.500.14352/33614A 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".engOn Montgomery's conjecture and the distribution of Dirichlet sumsjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022123614001530http://www.sciencedirect.com/restricted access517Montgomery's conjectureDirichlet sumsNumber theoryAnálisis matemático1202 Análisis y Análisis Funcional