Local Riemann Hypothesis for complex numbers

Details Local Riemann Hypothesis for complex numbers Local Riemann Hypothesis for complex numbers

2006-05-02

arxiv.org/abs/math/0605063v2

Mathematics

Number Theory

Scientific paper

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.

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