|SARAH SUMNER, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6, Canada|
|Investigating transcendence in the field of p-adic numbers|
In the field of p-adic numbers, whether the number is transcendental or even irrational is an unsolved problem. However, it can be shown that numbers of the form can be written in the form where uk and vk are integers. Interesting congruences involving the series are developed and conditions that will produce a p-adic transcendental number are discussed.
This is joint work with Professor Ram Murty.