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math.NT2024
Estimates for smooth Weyl sums on major arcs
Joerg Bruedern, Trevor D. Wooley
We present estimates for smooth Weyl sums of use on sets of major arcs in applications of the Hardy-Littlewood method. In particular, we derive mean value estimates on major arcs f…
math.NT2024
Partitio Numerorum: sums of squares and higher powers
Joerg Bruedern, Trevor D. Wooley
We survey the potential for progress in additive number theory arising from recent advances concerning major arc bounds associated with mean value estimates for smooth Weyl sums. W…