Zeta measure associated to \({\mathbb{F}}_ q[T]\)

DOI10.1016/0022-314X(90)90100-6zbMath0703.11065MaRDI QIDQ915779

Dinesh S. Thakur

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

interpolationzeta-functiondivided power serieszeta measurepower sumsmagic numbersbeta measureshyper-derivatives

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42)

Related Items (17)

Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t\)] ⋮ On the characteristic \(p\) valued measure associated to Drinfeld discriminant ⋮ Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic ⋮ Automata and transcendence in positive characteristic ⋮ Stabilized values of the generalized Goss zeta function ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Harmonic analysis and the flow of a Drinfeld module ⋮ A Formal Mellin Transform in the Arithmetic of Function Fields ⋮ Coefficients of Drinfeld modular forms and Hecke operators ⋮ Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves ⋮ A note on zeta measures over function fields ⋮ Power sums of polynomials over finite fields and applications: a survey ⋮ Unnamed Item ⋮ The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)] ⋮ Orders of vanishing of zeros of characteristic \(p\) zeta function ⋮ Continuous functions on discrete valuation rings ⋮ An alternate approach to solitons for \(\mathbb F_q [t\)]

Cites Work

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