A new proof of Halasz's theorem, and its consequences

Granville, A; Harper, AJ; Soundararajan, K

Granville, A (reprint author), Univ Montreal, Dept Math & Stat, CP 6128,Succ Ctr Ville, Montreal, PQ H3C 3J7, Canada.; Granville, A (reprint author), UCL, Dept Math, Gower St, London WC1E 6BT, England.

COMPOSITIO MATHEMATICA, 2019; 155 (1): 126

Abstract

Halasz's theorem gives an upper bound for the mean value of a multiplicative function f. The bound is sharp for general such f, and, in particular, it......

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