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Remark on Dirichlet series satisfying functional equations. (English) Zbl 0974.11035

The chapter 10.25 of E. C. Titchmarsh’s, “The theory of the Riemann zeta-function” (Oxford 1986; Zbl 0601.10026) contains a well known example of \(5\)-periodic Dirichlet series satisfying a functional equation similar to the one satisfied by the Riemann zeta-function, but having zeros off the critical line. In the paper under review the author constructs more such examples of \(5\) and \(6\)-periodic Dirichlet series.

MSC:

11M41 Other Dirichlet series and zeta functions

Citations:

Zbl 0601.10026
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