Orders of a quartic field

著者

    • 中川, 仁 ナカガワ, ジン

書誌事項

Orders of a quartic field

Jin Nakagawa

(Memoirs of the American Mathematical Society, no. 583)

American Mathematical Society, 1996

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注記

"July 1996, volume 122, number 583 (third of 5 numbers)."--t.p.

Bibliography: p. 75

内容説明・目次

内容説明

This text studies the Dirichlet series whose coefficients are the number of orders of a quartic field with given indices. The author gives an explicit expression of the Dirichlet series and using this expression, its analytic properties are deduced. He also presents an asymptotic formula for the number of orders in a quartic field with an index less than a given positive number.

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