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On the A-numbers in the quadratic fields K((sqrt { pm 37} ))

✍ Scribed by Trygve Nagell


Book ID
112789148
Publisher
Springer Netherlands
Year
1963
Tongue
English
Weight
434 KB
Volume
4
Category
Article
ISSN
0004-2080

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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