Modular electronics face a problem in getting new and old components to communicate with each other in a fast and simple way. The MIT chip, however, uses flashes of light to convey information between ...

We present an asymptotically fast algorithm for the numerical evaluation of modular functions such as the elliptic modular function j. Our algorithm makes use of the natural connection between the ...

Separating interface from implementation has many practical benefits. Here’s a simple way to do just that, in ANSI-standard C code. How do you organize medium-sized or larger C programs? Few C ...

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 ...

Apple has filed a new patent that outlines a future device where a phone can transform into a full-fledged camera system by ...