What is a Reciprocity Law?

DOI10.2307/2317083zbMath0244.12010OpenAlexW4232150398WikidataQ56210226 ScholiaQ56210226MaRDI QIDQ5655453

Bostwick F. Wyman

Publication date: 1972

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2317083

zbMATH Keywords

quadratic reciprocity lawArtin reciprocity lawsurvey of class field theory over the rational numbers

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Polynomials (irreducibility, etc.) (11R09)

Related Items (12)

Algebraic number fields ⋮ Reciprocity laws and Galois representations: recent breakthroughs ⋮ Prime numbers in certain arithmetic progressions ⋮ Distribution of values of Fourier coefficients for modular forms of weight 1 ⋮ On Polynomial Factorization Over Finite Fields ⋮ Non-PORC behaviour in groups of order \(p^{7}\) ⋮ On polynomial-factorial diophantine equations ⋮ On the subgroup generated by solutions of Pell's equation ⋮ Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny ⋮ Factoring with Cyclotomic Polynomials ⋮ Totally decomposed prime ideals and Newton sums ⋮ Elliptic Curves Over Finite Fields. II

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