Contributions to the theory of Kummer extensions
J. Wójcik (1982)
Acta Arithmetica
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J. Wójcik (1982)
Acta Arithmetica
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A. Rotkiewicz, R. Wasén (1980)
Acta Arithmetica
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K. Inkeri (1964)
Acta Arithmetica
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J. Wójcik (1982)
Acta Arithmetica
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L. Mordell (1960)
Acta Arithmetica
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Pierre Kaplan, Kenneth Williams, Yoshihiko Yamamoto (1984)
Acta Arithmetica
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I. Slavutsky (1965)
Acta Arithmetica
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N. Ankeny, S Chowla (1960)
Acta Arithmetica
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Henri Cohen (2003)
Annales de l’institut Fourier
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In a previous paper, we have given asymptotic formulas for the number of isomorphism classes of -extensions with discriminant up to a given bound, both when the signature of the extensions is or is not specified. We have also given very efficient exact formulas for this number when the signature is not specified. The aim of this paper is to give such exact formulas when the signature is specified. The problem is complicated by the fact that the ray class characters which appear are...