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Lengths of the periods of the continued fraction expansion of quadratic irrationalities and on the class numbers of real quadratic fields

✍ Scribed by E. P. Golubeva


Publisher
Springer US
Year
1990
Tongue
English
Weight
563 KB
Volume
52
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES


A Note on the Divisibility of Class Numb
✍ Gang Yu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 118 KB

Suppose g > 2 is an odd integer. For real number X > 2, define S g ðX Þ the number of squarefree integers d4X with the class number of the real quadratic field Qð ffiffiffi d p Þ being divisible by g. By constructing the discriminants based on the work of Yamamoto, we prove that a lower bound S g ðX