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Ramanujan conjecture

name

Etymology

Named after Srinivasa Ramanujan.

Definitions

  1. A conjecture stating that the Ramanujan tau function given by the Fourier coefficients…

    A conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number.

The neighborhood

Vish — recursive loop

No curated loop yet for Ramanujan conjecture. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA