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On the zeros of Weng zeta functions for Chevalley groups

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We prove that all but finitely many zeros of Weng’s zeta function for a Chevalley group defined over \({\mathbb{Q}}\) are simple and on the critical line.

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Authors and Affiliations

  1. Department of mathematics, Yonsei University, Seoul, 120-749, Korea

    Haseo Ki

  2. Korea Institute for Advanced Study, Seoul, Korea

    Haseo Ki

  3. Department of Mathematics, Rikkyo University, Nishi-Ikebukuro, Toshima-ku, Tokyo, 171-8501, Japan

    Yasushi Komori

  4. Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8551, Japan

    Masatoshi Suzuki

Authors
  1. Haseo Ki
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  2. Yasushi Komori
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  3. Masatoshi Suzuki
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Correspondence to Haseo Ki.

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Ki, H., Komori, Y. & Suzuki, M. On the zeros of Weng zeta functions for Chevalley groups. manuscripta math. 148, 119–176 (2015). https://doi.org/10.1007/s00229-015-0736-8

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