Showing posts with label Srinivasa Ramanujan. Show all posts
Showing posts with label Srinivasa Ramanujan. Show all posts

"Suppose there is a function in the Eulerian form and suppose that all or an infinity of points are exponential singularities, and also suppose that at these points the asymptotic form closes as neatly as in the cases of (A) and (B). The question is: Is the function taken the sum of two functions one of which is an ordinary θ-function and the other a (trivial) function which is O(1) at all the points e2mπi/n? ... When it is not so, I call the function a Mock θ-function." - Srinivasa Ramanujan

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"Suppose there is a function in the Eulerian form and suppose that all or an infinity of points are exponential singularities, and also suppose that at these points the asymptotic form closes as neatly as in the cases of (A) and (B). The question is: Is the function taken the sum of two functions one of which is an ordinary θ-function and the other a (trivial) function which is O(1) at all the points e2mπi/n? ... When it is not so, I call the function a Mock θ-function." - Srinivasa Ramanujan
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"I have found a friend in you who views my labour sympathetically." - Srinivasa Ramanujan

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"I have found a friend in you who views my labour sympathetically." - Srinivasa Ramanujan
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"An equation for me has no meaning, unless it represents a thought of God." - Srinivasa Ramanujan

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"An equation for me has no meaning, unless it represents a thought of God." - Srinivasa Ramanujan
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