Lower Bound for P-Adic Exponential Polynomials Evaluated at Some Integer Points

In 1981, a p-adic interpolation method based on divided differences was derived and was applied to derive, among other things, results on the number of zeros and the bound of certain p-adic exponential polynomials. Here, lower bounds for a p-adic exponential polynomial evaluated over some rational integers are derived using a method of van der Poorten.

Keywords: p-adic exponential polynomial, Turán’s theorem

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E-mail: fscianr@ku.ac.th