On explicit reciprocity laws for the local Carlitz-Kummer symbols

DOI10.1006/jnth.1999.2403zbMath0937.11020OpenAlexW1996298761MaRDI QIDQ1125380

Bruno Anglès

Publication date: 1 June 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2403

zbMATH Keywords

reciprocity lawsCarlitz polynomialLubin-Tate formal groups in positive characteristicWiles explicit formula

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Class field theory; (p)-adic formal groups (11S31)

Related Items (3)

ON LOCAL FIELDS GENERATED BY DIVISION VALUES OF FORMAL DRINFELD MODULES ⋮ Explicit reciprocity laws for formal Drinfeld modules ⋮ Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules

Cites Work

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• Carlitz-Kummer function fields
• Higher explicit reciprocity laws
• Local and global residue symbols for algebraic function fields
• On the orthogonal of cyclotomic units in positive characteristic
• Explicit Class Field Theory for Rational Function Fields

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