Local Riemann Hypothesis for complex numbers
数论
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0605063,
title = {Local Riemann Hypothesis for complex numbers},
author = {Rikard Olofsson},
journal= {arXiv preprint arXiv:math/0605063},
year = {2007}
}