Functional equations for Selberg zeta functions with Tate motives
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2021.05.012
Abstract: For a compact Riemann surface $M$ of genus $g\ge 2$, we study the functional equations of the Selberg zeta functions attached with the Tate motives $f$. We prove that certain functional equations hold if and… read more here.
Keywords: zeta functions; equations selberg; functions tate; selberg zeta ... See more keywords
tt-geometry of Tate motives over algebraically closed fields
Sign Up to like & getrecommendations! Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x19007528
Abstract: We study Tate motives with integral coefficients through the lens of tensor triangular geometry. For some base fields, including $\overline{\mathbb{Q}}$ and $\overline{\mathbb{F}_{p}}$ , we arrive at a complete description of the tensor triangular spectrum and… read more here.
Keywords: tate motives; algebraically closed; motives algebraically; geometry ... See more keywords