Orders of a Quartic Field 

Author:
 Nakagawa, Jin 
Series title:  Memoirs of the American Mathematical Society Ser. 
ISBN:  9780821804728 
Publication Date:  Jul 1996 
Publisher:  American Mathematical Society

Book Format:  Paperback 
List Price:  USD $45.00 
Book Description:

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.