Generating Function: A formal power series whose coefficients correspond to elements of a sequence, providing a tool for analysing number-theoretic properties.

This is a course covering a number of concepts and techniques of discrete mathematics. Topics covered: Counting: selections; inclusion-exclusion; generating functions; recurrence relations.

We characterize the maximal class of functions that generates such a metric. Further, we show how some interesting properties of these probability metrics arise directly from conditions on the ...

Collectively, these studies underscore the dynamic and globally significant progress in understanding the arithmetic properties of partition functions, highlighting avenues for future research in ...