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Journal of the London Mathematical Society 1987 s2-36(1):1-15; doi:10.1112/jlms/s2-36.1.1
© 1987 by London Mathematical Society
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© Oxford University Press

Zeros of p-Adic Exponential Polynomials II

A. J. van der Poorten and Robert S. Rumely

School of Mathematics and Physics, Macquarie University North Ryde, New South Wales 2113, Australia
Department of Mathematics, University of Georgia Athens, Georgia 30602, USA

We give a bound for the total number of zeros of a p-adic exponential polynomial in its disc of convergence. For an exponential polynomial of order n defined over Qp, with p > n ≥ 3, the bound is (n – 2)p. Similar bounds are obtained in general.


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