Note on \(p\)-adic local functional equation

DOI10.1134/S2070046622030037zbMath1495.11126arXiv2201.08874OpenAlexW4226089035WikidataQ113781923 ScholiaQ113781923MaRDI QIDQ2171223

Luochen Zhao

Publication date: 23 September 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08874

zbMATH Keywords

Fourier transformlocal functional equationgroup schemeCartier duality

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Formal groups, (p)-divisible groups (14L05)

Cites Work

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• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• \(\Gamma\)-transforms of rational function measures on \(\mathbb Z_ S\)
• Another look at \(p\)-adic \(L\)-functions for totally real fields
• A new proof of certain formulas for p-adic L-functions
• Arithmetic of Weil curves
• A Dirichlet series expansion for the p-adic zeta-function
• Interpolation $p$-adique

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