Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Analytic number theory continues to serve as a cornerstone of modern mathematics through its probing study of zeta functions and their applications. At the heart of this discipline is the classical ...

This is a preview. Log in through your library . Abstract We show how various modular identities due to Ramanujan may be used to produce simple high order approximations to π. Various specializations ...