Circle method (Hardy-Littlewood / Vinogradov)

Layer 0 — Mathematicsin the analytic-number-theory subtree

Hardy-Littlewood 1920s + Vinogradov 1937: Waring's problem + Goldbach via Fourier analysis on T = R/Z; major arcs (rationals) + minor arcs (irrationals); Vinogradov's mean-value theorem.

Related concepts

Fourier transform
Diophantine equation

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