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Bases normales d'entiers et unités modulaires

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Abstract

LetK be an imaginary quadratic field with discriminantd K <−4,d K ≡2, 3 mod 4, andp a prime number,p≡1 mod 8,p split inK; let Ω p be the ring class field overK with conductorp andK(p) the ray class field overK with conductorp. An explicit normal basis is constructed for the ring of integers of the unique quadratic extension of Ω p contained inK(p) over the ring of integers of Ω p . This uses certain classical modular units considered by Deuring and Hecke.

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Authors and Affiliations

  1. Departamento de Matemáticas Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080, Bilbao, España

    E. J. Gómez Ayala

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  1. E. J. Gómez Ayala
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Gómez Ayala, E.J. Bases normales d'entiers et unités modulaires. Manuscripta Math 83, 199–213 (1994). https://doi.org/10.1007/BF02567609

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  • DOI: https://doi.org/10.1007/BF02567609

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