Zeta functions for $G_2$ and their zeros

The exceptional group $G_{2}$ has two maximal parabolic subgroups $P_{l o n g}$ , $P_{s h o r t}$ corresponding to the so-called long root and short root. In this paper, the second author introduces two zeta functions associated to $(G_{2}, P_{l o n g})$ and $(G_{2}, P_{s h o r t})$ respectively, and the first author proves that these zetas satisfy the Riemann Hypothesis.

Zeta functions for $G_{2}$ and their zeros

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Zeta functions for $G_{2}$ and their zeros

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Zeta functions for G2G2​ and their zeros

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Zeta functions for G2G2​ and their zeros

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Zeta functions for $G_{2}$ and their zeros

讲解博客

AI智能校验

Zeta functions for $G_{2}$ and their zeros

讲解博客

AI智能校验