"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 and . The question is: Is the function taken the sum of two functions one of which is an ordinary θ-function and the other a function which is O at all the points e2mi/n? ... When it is not so, I call the function a Mock θ-function." (en)
