Entire functions defined by multiple Dirichlet series of the form (1.1) ∞∑m,n=1c_(m,n) e~(λmz1+μnz2), z_1, z_2∈C, (here for the sake of simplicity we write in the case of two variables) with the real (even positive) frequencies (λm), (μn), have been extensively investigated by many authors. Several problems on orders, types, mean values, topological structures, functionals, operators, bases and so on were considered.
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