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On the congruences for the class numbers of the quadratic fields whose discriminants are divisible by 8

โœ Scribed by Mitsuhiko Hikita


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
558 KB
Volume
23
Category
Article
ISSN
0022-314X

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A Note on the Divisibility of Class Numb
โœ Gang Yu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

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