The number of prime factors of integers – a selection of charming results both old and new

Speaker: Prof. Krishnaswami Alladi
Date: 02/05/2016
Time: 13:30 - 14:30

Location: RISC Seminar room

Note: This is a (blackboard) talk for a general audience. Abstract: The first systematic study of the number of prime factors was due to Hardy and Ramanujan in 1917. This eventually gave rise to probabilistic number theory with the work of Turan, and Erd\"os-Kac. We will provide a selection of beautiful classical results on the number of prime factors and discuss many newer results for which restrictions are placed on the sizes of the prime factors. These lead to surprising twists of the classical theme. Note by P. Paule: Professor Alladi is a leading expert in number theory, combinatorics, partitions, and q-series identities. He is founder and editor-in-chief of the highly successful Ramanujan Journal. Note by P. Paule: Professor Alladi is a leading expert in number theory, combinatorics, partitions, and q-series identities. He is founder and editor-in-chief of the highly successful Ramanujan Journal.