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- W2023992891 abstract "Let r be a power of a prime number p , F r be the finite field of r elements, and F r [ T ] be the polynomial ring over F r . As an analogue to the Riemann zeta function over Z , Goss constructed the zeta function ζ F r [ T ] ( s ) over F r [ T ]. In order to study this zeta function, Thakur calculated the divided power series associated to the zeta measure μ x on F r [ T ] v , where v is a finite place of F r ( T ). This paper calculates the divided power series associated to the zeta measure on F r [ T ] ∞ = F r [[ 1 T ]] and expresses ζ F r [ T ] ( s ) by an integral of some locally analytic function." @default.
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- W2023992891 date "2001-09-01" @default.
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- W2023992891 title "A Note on Zeta Measures over Function Fields" @default.
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- W2023992891 doi "https://doi.org/10.1006/jnth.2000.2597" @default.
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