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2023•arXiv (Cornell University)Open access

Explicit Reciprocity Laws in Iwasawa Theory -- A survey with some focus on the Lubin-Tate setting

Otmar Venjakob

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Abstract

Starting from Gauß' and Legendre's quadratic reciprocity law we want to sketch how it gave rise to the development of higher and generalized reciprocity laws and over all explicit reciprocity formulas in Iwasawa theory.

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Starting from Gauß' and Legendre's quadratic reciprocity law we want to sketch how it gave rise to the development of higher and generalized reciprocity laws and over all explicit reciprocity formulas in Iwasawa theory.

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Available abstract

Starting from Gauß' and Legendre's quadratic reciprocity law we want to sketch how it gave rise to the development of higher and generalized reciprocity laws and over all explicit reciprocity formulas in Iwasawa theory.

Key concepts: Reciprocity law, Reciprocity (cultural anthropology), Sketch, Legendre symbol, Legendre polynomials, Legendre transformation, Quadratic equation, Mathematics

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