A MORE INTUITIVE PROOF OF A SHARP VERSION OF HALASZ'S THEOREM

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.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018; 146 (10): 4099

Abstract

We prove a sharp version of Halasz's theorem on sums Sigma(n <= x) f(n) of multiplicative functions f with vertical bar f(n)vertical bar <= 1. O......

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