Solymosi's multiplicative energy bound for complex numbers
Tim Jones, Misha Rudnev
TL;DR
This paper extends Solymosi's sum-product estimate from real numbers to complex numbers, providing a new bound on the multiplicative energy in the complex setting.
Contribution
The paper introduces a novel extension of Solymosi's sum-product estimate to complex numbers, broadening its applicability.
Findings
Extended sum-product estimate to complex numbers
Established bounds on multiplicative energy in complex sets
Bridged gap between real and complex sum-product problems
Abstract
We extend the recent Solymosi's sum-product estimate for reals to the complex case.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical and Theoretical Analysis · Advanced Mathematical Theories and Applications