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Hermite interpolation and p-adic exponential polynomials

Published online by Cambridge University Press:  09 April 2009

A. J. van der Poorten
A. J. van der Poorten
Affiliation:
School of MathematicsThe University of New South Wales, Australia
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By employing a precise form of the Hermite interpolation formula we obtain a best possible bound for the number of zeros of p-adic exponential polynomials. As companion to this quantitative result we give a best possible bound on the coefficients, if the exponential polynomial is small at sufficiently many points.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 1 , August 1976 , pp. 12 - 26
Copyright
Copyright © Australian Mathematical Society 1976

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