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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Let $|ab|<1$. The Ramanujan theta function $f$ is defined by | Let $|ab|<1$. The Ramanujan theta function $f$ is defined by | ||
$$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{n(n+1)}{2}} b^{\frac{n(n-1)}{2}}.$$ | $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{n(n+1)}{2}} b^{\frac{n(n-1)}{2}}.$$ | ||
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| + | [[Category:SpecialFunction]] | ||
Revision as of 18:32, 24 May 2016
Let $|ab|<1$. The Ramanujan theta function $f$ is defined by $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{n(n+1)}{2}} b^{\frac{n(n-1)}{2}}.$$
