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On the sign changes of coefficients of general Dirichlet series |
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| Authors: | Wladimir de Azevedo Pribitkin |
| Affiliation: | Department of Mathematics, College of Staten Island, City University of New York, 2800 Victory Boulevard, Staten Island, New York 10314 |
| Abstract: | Under what conditions do the (possibly complex) coefficients of a general Dirichlet series exhibit oscillatory behavior? In this work we invoke Laguerre's Rule of Signs and Landau's Theorem to provide a rather simple answer to this question. Furthermore, we explain how our result easily applies to a multitude of functions. |
| Keywords: | General Dirichlet series oscillatory sequence Mellin transform |
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