It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly[...]

"Convolution and Equidistribution" explores an important aspect of number theory - the theory of exponential sums over finite fields and their Mellin transforms - from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new direc[...]