Orders of a quartic field
Author(s)
Bibliographic Information
Orders of a quartic field
（Memoirs of the American Mathematical Society, no. 583）
American Mathematical Society, 1996
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Note
"July 1996, volume 122, number 583 (third of 5 numbers)."--t.p.
Bibliography: p. 75
Description and Table of Contents
Description
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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