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Real quadratic fields with class number divisible by 3

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Abstract.

 We shall show that the number of real quadratic fields whose absolute discriminant is ≤ x and whose class number is divisible by 3 is improving the existing best known bound of K. Chakraborty and R. Murty.

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Authors and Affiliations

  1. School of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea. e-mail: dhbyeon@math.snu.ac.kr, , , , , , KR

    Dongho Byeon

  2. Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Korea. e-mail: ehkoh@postech.ac.kr, , , , , , KR

    Eunhee Koh

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  1. Dongho Byeon
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  2. Eunhee Koh
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Additional information

Received: 7 January 2003 Published online: 19 May 2003

This work was supported by Korea Research Foundation Grant KRF-2002-003-C00001.

Mathematics Subject Classification(2000): 11R11, 11R29

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Byeon, D., Koh, E. Real quadratic fields with class number divisible by 3. manuscripta math. 111, 261–263 (2003). https://doi.org/10.1007/s00229-003-0379-z

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  • DOI: https://doi.org/10.1007/s00229-003-0379-z

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