On universality for linear combinations of L-functions |
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Authors: | Takashi Nakamura ?ukasz Pańkowski |
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Institution: | 1. Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science Noda, Chiba, 278-8510, Japan 2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614, Poznan, Poland
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Abstract: | In the present paper, we consider the universality property in the Voronin sense for certain combinations of L-functions with general Dirichlet series as coefficients. In addition, we present some interesting examples of zeta and L-functions which can be expressed in this form. More precisely, we obtain the universality theorem for zeta functions associated to certain arithmetic functions, zeta functions associated to symmetric matrices and Euler–Zagier double zeta and L-functions. |
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