Ramanujan theta function

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English

English Wikipedia has an article on:

Ramanujan theta function

Etymology

Named after mathematician Srinivasa Ramanujan.

Proper noun

the Ramanujan theta function

(mathematics) A theta function that generalizes the form of the Jacobi theta functions while capturing their general properties. It is defined as: $f(a,b)=\sum _{n=-\infty }^{\infty }a^{\frac {n(n+1)}{2}}\;b^{\frac {n(n-1)}{2}}$ for |ab| < 1.

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