On the integer zeros of exponential polynomials

C. WardHenson Department of Mathematics, University of lllinos, West Green Street, Urbana, IL, 61801

Lee A. Rubel Department of Mathematics, University of lllinos, West Green Street, Urbana, IL, 61801

Lou Van Den Dries Department of Mathematics, University of lllinos, West Green Street, Urbana, IL, 61801

Michael F. Singer Department of Mathematics, North Carolina State University, P.O. Box 8205, Raleigh, NC, 27695

Abstract

The paper consists of variations on the theme that if a simple exponential polynomial vanishes on the positive integers, then it musy vanish on all the integers.

AMS No:

^∗The research of Henson, Singer, and van den Dries was partially supported by grants from the National Science Foundation.

^∗The research of Rubel was partially supported by a grant from the National Security Agency.

^∗The research of Henson, Singer, and van den Dries was partially supported by grants from the National Science Foundation.

^∗The research of Rubel was partially supported by a grant from the National Security Agency.

Notes

^∗The research of Henson, Singer, and van den Dries was partially supported by grants from the National Science Foundation.

^∗The research of Rubel was partially supported by a grant from the National Security Agency.

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On the integer zeros of exponential polynomials

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On the integer zeros of exponential polynomials

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