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The Class Number Formula of a Real Quadratic Field and an Estimate of the Value of a Unit

Published online by Cambridge University Press:  20 November 2018

T. Mitsuhiro ,
T. Nakahara  and
T. Uehara
T. Mitsuhiro
Affiliation:
Graduate School of Science and Engineering, Saga University, Saga 840, Japan, e-mail:mituhiro@ms.saga-u.ac.jp
T. Nakahara
Affiliation:
Faculty of Science and Engineering, Saga University, Saga 840, Japan, e-mail:nakahara@ms.saga-u.ac.jp
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Abstract

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Our aim is to give an arithmetical expression of the class number formula of real quadratic fields. Starting from the classical Dirichlet class number formula, our proof goes along arithmetical lines not depending on any analytical method such as an estimate for

Keywords

11R2911R1111R18
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 98 - 103
Copyright
Copyright © Canadian Mathematical Society 1995

References

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