Orders of a quartic field / Jin Nakagawa.

Format:

Book

Author/Creator:

Nakagawa, Jin, 1957- author.

Series:

Memoirs of the American Mathematical Society ; Volume 122, Number 583.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 122, Number 583

Language:

English

Subjects (All):

Quartic fields.

Dirichlet series.

Physical Description:

1 online resource (90 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1996.

Language Note:

English

Summary:

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.

Contents:

""Contents""; ""Chapter 0. Introduction""; ""Chapter 1. Preliminaries""; ""Chapter 2. Type 1111""; ""Chapter 3. Types 112 and 111[sup(2)]""; ""Chapter 4. Types 22, 21[sup(2)] and 1[sup(2)]1[sup(2)]""; ""Chapter 5. Types 13 and l l[sup(3)]""; ""Chapter 6. Types 4 and l[sup(4)]""; ""Chapter 7. Type 2[sup(2)]""; ""Chapter 8. Proof of Theorem 1""; ""Bibliography""

Notes:

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

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0168-1