ANote on the Divisibilityof Class Numbers of Real Quadratic Fields
نویسندگان
چکیده
Suppose g > 2 is an odd integer. For real number X > 2, define SgðXÞ 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 SgðXÞ4X 1=g e holds for any fixed e > 0, which improves a result of Ram Murty. # 2002 Elsevier Science (USA)
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