On new sum-product type estimates
Misha Rudnev
TL;DR
This paper introduces new lower bounds for sum, difference, product, and ratio sets of complex numbers, advancing the understanding of sum-product phenomena in additive combinatorics.
Contribution
It provides novel sum-product type estimates for complex sets, extending previous bounds and techniques in the field.
Findings
New lower bounds for sum and product sets
Enhanced understanding of sum-product phenomena in complex numbers
Improved estimates over existing results
Abstract
New lower bounds involving sum, difference, product, and ratio sets for are given.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Approximation and Integration