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A note on the 3-rank of quadratic fields

✍ Scribed by Yasuhiro Kishi


Publisher
Springer
Year
2003
Tongue
English
Weight
70 KB
Volume
81
Category
Article
ISSN
0003-889X

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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