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Class number 2 problem for certain real quadratic fields of Richaud–Degert type

✍ Scribed by Dongho Byeon; Jungyun Lee

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
177 KB
Volume
128
Category
Article
ISSN
0022-314X

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✦ Synopsis

In this paper we will apply Biró's method in [A. Biró, Yokoi's conjecture, Acta Arith. 106 (2003) 85-104; A. Biró, Chowla's conjecture, Acta Arith. 107 (2003) 179-194] to class number 2 problem of real quadratic fields of Richaud-Degert type and will show that there are exactly 4 real quadratic fields of the form K = Q( n 2 + 1) with class number 2, where n 2 + 1 is a even square free integer.

📜 SIMILAR VOLUMES

Class Number 1 Criteria for Real Quadrat
Class Number 1 Criteria for Real Quadratic Fields of Richaud–Degert Type
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In this paper we develop two ways of computing special values of zeta function attached to a real quadratic field. Comparing these values we obtain various class number 1 criteria for real quadratic fields of Richaud Degert type.

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