On a criterion for the quadratic fields Q(√(n2 + 4)) to be of class number two

Ming Guang Leu

doi:10.1112/blms/24.4.309

On a criterion for the quadratic fields Q(√(n² + 4)) to be of class number two

Ming Guang Leu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we shall prove a sufficient condition for the quadratic fields Q(√(n² + 4)) to be of class number two. Furthermore, under the assumption of the generalized Riemann hypothesis, we give a criterion for the quadratic fields Q(√(n² + 4)) to be of class number two.

Original language	English
Pages (from-to)	309-312
Number of pages	4
Journal	Bulletin of the London Mathematical Society
Volume	24
Issue number	4
DOIs	https://doi.org/10.1112/blms/24.4.309
State	Published - Jul 1992

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title = "On a criterion for the quadratic fields Q(√(n2 + 4)) to be of class number two",

abstract = "In this paper, we shall prove a sufficient condition for the quadratic fields Q(√(n2 + 4)) to be of class number two. Furthermore, under the assumption of the generalized Riemann hypothesis, we give a criterion for the quadratic fields Q(√(n2 + 4)) to be of class number two.",

author = "Leu, {Ming Guang}",

note = "Funding Information: Partially supported by Grant NSC 80-0208-M-008-07 of the National Science Council of the Republic China.",

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AU - Leu, Ming Guang

N1 - Funding Information: Partially supported by Grant NSC 80-0208-M-008-07 of the National Science Council of the Republic China.

PY - 1992/7

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N2 - In this paper, we shall prove a sufficient condition for the quadratic fields Q(√(n2 + 4)) to be of class number two. Furthermore, under the assumption of the generalized Riemann hypothesis, we give a criterion for the quadratic fields Q(√(n2 + 4)) to be of class number two.

AB - In this paper, we shall prove a sufficient condition for the quadratic fields Q(√(n2 + 4)) to be of class number two. Furthermore, under the assumption of the generalized Riemann hypothesis, we give a criterion for the quadratic fields Q(√(n2 + 4)) to be of class number two.

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 4

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On a criterion for the quadratic fields Q(√(n2 + 4)) to be of class number two

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On a criterion for the quadratic fields Q(√(n² + 4)) to be of class number two