A q-analogue of Mahler Expansions
Ohio State University
refreshments at 3:45pm
Since the work of K. Mahler about forty years ago, the
binomial coefficient polynomials have played an important role in
working with continuous functions on the p-adic integers which take
p-adic values. The q-analogue of binomial coefficients will be shown
to admit a similar role when q is a p-adic variable close to 1.
Mahler's construction is recovered at q = 1, and several properties of
his construction will be extended to the q-analogue.
Speaker's Contact Info: kconrad(at-sign)math.ohio-state.edu
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