Difference between revisions of "Ramanujan theta function"

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(Created page with "Let $|ab|<1$. The Ramanujan theta function $f$ is defined by $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{n(n+1)}{2}} b^{\frac{n(n-1)}{2}}.$$")
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Revision as of 23:07, 20 January 2016

Let $|ab|<1$. The Ramanujan theta function $f$ is defined by $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{n(n+1)}{2}} b^{\frac{n(n-1)}{2}}.$$