A study in sums of products
\'E. Fouvry, E. Kowalski, Ph. Michel
TL;DR
This paper presents a general cancellation result for exponential sums involving products of trace functions, under certain independence conditions, with applications in analytic number theory.
Contribution
It introduces a broad, applicable version of cancellation for exponential sums of trace functions based on independence criteria.
Findings
Provides a new cancellation theorem for exponential sums.
Applicable to sums of products of trace functions.
Enhances tools for analytic number theory applications.
Abstract
We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat-Kolchin-Ribet criterion, in a form that is easily applicable in analytic number theory.
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