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Hermite interpolation and<i>p</i>-adic exponential polynomials

Hermite interpolation and<i>p</i>-adic exponential polynomials

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 …