A note on Halasz's Theorem in F-q[t]

• In the setting of the integers, Granville, Harper and Soundararajan showed that the upper bound in Halasz's Theorem can be improved for smoothly supported functions. We derive the analogous result for Halasz's Theorem in F-q[t], and then consider the converse question of when the general upper bound in this version of Halasz's Theorem is actually attained.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Halasz's Theorem

Mean values of multiplicative functions

Arithmetic of polynomials over finite fields

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