Abstract
Two consequences of our earlier result about factorization of generalized exponential polynomials are given. The first consequence shows that all but finitely many integer zeros of a generalized exponential polynomial form a finite union of arithmetic progressions. The second shows how to construct classes of transcendentally transcendental power series having the property that the index set of its zero coefficients is a finite union of arithmetic progressions plus a finite set.
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Phuksuwan, O., Laohakosol, V. (2013). Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros. In: Borwein, J., Shparlinski, I., Zudilin, W. (eds) Number Theory and Related Fields. Springer Proceedings in Mathematics & Statistics, vol 43. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6642-0_13
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DOI: https://doi.org/10.1007/978-1-4614-6642-0_13
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