Orders of a Quartic Field |
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| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-0472-8 |
| Publication Date: | Jul 1996 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $45.00USD $45.00 |
Book Description:
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In this book, the author studies the Dirichlet series whose coefficients are the number of orders of a quartic field with given indices. Nakagawa gives an explicit expression of the Dirichlet series. Using this expression, its analytic properties are deduced. He also presents an asymptotic formula for the number of orders in a quartic field with index less than a given positive number.
In this book, the author studies the Dirichlet series whose coefficients are the number of orders of a quartic field with given indices. Nakagawa gives an explicit expression of the Dirichlet series. Using this expression, its analytic properties are deduced. He also presents an asymptotic formula for the number of orders in a quartic field with index less than a given positive number.