Nested Efficient Congruencing and (non) translation-dilation invariance.
Recent developments in Analytic Number Theory May 01, 2017 - May 05, 2017
Location: MSRI: Simons Auditorium
efficient congruencing method
translation dilation invariance
Vinogradov's mean value theorem
Vinogradov system of equations
11P55 - Applications of the Hardy-Littlewood method [See also 11D85]
We discuss the nested refinement of the efficient congruencing method, which incorporates an idea from the l^2-decoupling work of Bourgain, Demeter and Guth. There are consequences for (non) translation-dilation invariant systems
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