scientific article; zbMATH DE number 837820

zbMath0841.11030MaRDI QIDQ4863729

Dinesh S. Thakur

Publication date: 16 July 1996

Full work available at URL: http://www.numdam.org/item?id=CM_1995__99_3_231_0

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zbMATH Keywords

estimatesDrinfeld modulesDedekind zeta functionstrivial zeroscharacteristic \(p\) zeta functionslower bound on the order of the zerosorders of vanishing

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta functions and (L)-functions of number fields (11R42)

Related Items (12)

Resultantal varieties related to zeroes of \(L\)-functions of Carlitz modules ⋮ On the index of cyclotomic units in characteristic \(p\) and its applications ⋮ \(L\)-functions of Carlitz modules, resultantal varieties and rooted binary trees. I ⋮ A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives ⋮ The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y/(y^2+y+x^3+x+1)\)] ⋮ Digit permutations revisited ⋮ 𝐿-functions of 𝜑-sheaves and Drinfeld modules ⋮ Cohomological Theory of Crystals over Function Fields and Applications ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Arithmetic equivalence for function fields, the Goss zeta function and a generalisation ⋮ On zeros of characteristic \(p\) zeta function ⋮ Orders of vanishing of zeros of characteristic \(p\) zeta function

Cites Work

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• Tensor powers of the Carlitz module and zeta values
• Gauss sums for function fields
• Über die Werte der Dedekindschen Zetafunktion
• Gamma functions for function fields and Drinfeld modules
• Transcendence and special zeta values in characteristic p
• Zeta measure associated to \({\mathbb{F}}_ q[T\)]
• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• On certain functions connected with polynomials in a Galois field
• Power sums of polynomials in a Galois field

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