American Journal of Mathematics, Vol. 138, No. 3 (June 2016), pp. 821-878 (58 pages) Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we ...

In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

The input argument fun refers to an IML module that specifies a function that returns f, a vector of length m for least-squares subroutines or a scalar for other optimization subroutines. The returned ...

Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

This is a preview. Log in through your library . Abstract A poly-log time method to compute the truncated theta function, its derivatives, and integrals is presented. The method is elementary, ...