Digit permutations revisited

DOI10.5802/jtnb.998zbMath1432.11126arXiv1605.03943OpenAlexW2963104842MaRDI QIDQ5374137

David Goss

Publication date: 9 April 2018

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03943

zbMATH Keywords

measuresRiemann hypothesis\(L\)-seriesdigit permutationsdivided algebras

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items

Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients ⋮ Ergodic functions over \(Z_p\)

Cites Work

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• Twisted characteristic \(p\) zeta functions
• Functional identities for \(L\)-series values in positive characteristic
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Dirichlet series in function fields
• Differential operators and interpolation series in power series fields
• The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)]
• A Riemann Hypothesis for characteristic \(p\) \(L\)-functions
• The digit principle
• Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves
• Values of certain \(L\)-series in positive characteristic
• The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y/(y^2+y+x^3+x+1)\)]
• An Essay on the Riemann Hypothesis
• $\zeta$-phenomenology
• An Interpolation Series for Continuous Functions of a p-adic Variable.
• ELLIPTIC MODULES
• Interpolation series for continuous functions on π-adic completions of GF(q, x)

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