On universality for linear combinations of L-functions
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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.
KeywordsHybrid universality Linear combination of L-functions Zeros of L-functions Zeta functions associated to arithmetic functions Zeta functions associated to symmetric matrices Euler–Zagier double zeta-function
Mathematics Subject Classification (2000)11M32 11M35 11M41
We would like to thank the anonymous referee for very useful comments and remarks.
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