On the zeros of Weng zeta functions for Chevalley groups

Haseo Ki; Masatoshi Suzuki; Yasushi Komori

arxiv: 1011.4583 · v3 · pith:R63DWCABnew · submitted 2010-11-20 · 🧮 math.NT · math.RT

On the zeros of Weng zeta functions for Chevalley groups

Haseo Ki , Yasushi Komori , Masatoshi Suzuki This is my paper

classification 🧮 math.NT math.RT

keywords chevalleywengzeroszetacriticaldefinedfinitelyfunction

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We prove that all but finitely many zeros of Weng's zeta function for a Chevalley group defined over $\Q$ are simple and on the critical line under some reasonable geometric hypothesis.

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On the zeros of Weng zeta functions for Chevalley groups

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