In this paper a special class of local zeta functions is studied. The main theorem states that the functions have all zeros on the line Re (s)=1/2. This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin transform of Hermite functions have Re (s)=1/2.
Continued fraction expansions for complex numbers - a general approach
Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
q-Analogues of the Barnes multiple zeta functions
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