Modular forms / L-functions (Langlands)

Layer 0 — Mathematicsin the analytic-number-theory subtree

Eichler-Shimura 1950s + Langlands 1970s: Hecke eigenforms ↔ Dirichlet L-series via L(s, f); Modularity Theorem (Wiles 1995 + Breuil-Conrad-Diamond-Taylor 2001) elliptic curves are modular.

Related concepts

Modular form
Elliptic curve

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