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Sarah Sumner - Investigating transcendence in the field of p-adic numbers
| 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.
