Decoupling conjecture for equally distributed points on a monomial curve
Decoupling conjecture for equally distributed points on a monomial curve
Let be an integer, let , and let for be equally distributed in . For each , let be an rectangle centered at whose long side is parallel to the tangent line to at , let , and suppose . For every and , the decoupling conjecture asserts that
This is a decoupling formulation associated with the discrete restriction problem above. The source presents it as a standard consequence of that conjecture and does not state whether it has been resolved.
Sources & referencesView supporting material
Primary source
Xiaochun Li, “A Stein-Tomas type estimate and a decoupling inequality”, arXiv:2309.12835 (2023).
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