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The Lerch-Type Zeta Function of a Recurrence Sequence of Arbitrary Degree
[EN]We consider the series $\sum_{n=1}^{\infty} z^{n} (a_{n} + x)^{-s}$ where $\{a_{n}\}$ satisfies a linear recurrence of arbitrary degree with integer coefficients. Under appropriate conditions, we prove that it can be continued to a meromorphic function on the complex $s$-plane. Thus we may assoc
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