Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros
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چکیده
A factorization theorem is proved for a class of generalized exponential polynomials having all but finitely many of integer zeros belong to a finite union of arithmetic progressions. This theorem extends a similar result for ordinary exponential polynomials due to H. N. Shapiro in 1959. The factorization makes apparent those factors corresponding to all zeros in such a union.
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تاریخ انتشار 2013