Ramanujan conjecture

English

Etymology

Named after Template:W.

Proper noun

1. Template:Lb A conjecture stating that the Ramanujan tau function given by the Fourier coefficients Template:Math of the cusp form Template:Math of weight Template:Math $\mathrm{\Delta }(z)=\sum _{n>0}\tau (n)q^n=q\prod _{n>0}{(1-q^n)}^{24}=q-24q^2+252q^3-1472q^4+4830q^5-\cdots ,$ where $q=e^{2\pi iz}$, satisfies $|\tau (p)|\le 2p^{11/2},$ when $p$ is a prime number.

Related terms

• Template:L