Copyright © 2012 A. Pekin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

1. P. Hartung, “Proof of the existence of infinitely many imaginary quadratic fields whose class number is not divisible by $n$,” Journal of Number Theory, vol. 6, pp. 276–278, 1974. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
2. T. Honda, “A few remarks on class numbers of imaginary quadratic number fields,” Osaka Journal of Mathematics, vol. 12, pp. 19–21, 1975. View at Zentralblatt MATH · View at MathSciNet
3. M. R. Murty, “The ABC conjecture and exponents of class groups of quadratic fields,” in Number Theory, vol. 210 of Contemporary Mathematics, pp. 85–95, American Mathematical Society, Providence, RI, USA, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
4. T. Nagel, “Über die Klassenzahl imaginär quadratischer Zahlkörper,” Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, vol. 1, pp. 140–150, 1992.
5. K. Soundararajan, “Divisibility of class numbers of imaginary quadratic fields,” Journal of the London Mathematical Society. Second Series, vol. 61, no. 3, pp. 681–690, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
6. P. J. Weinberger, “Real quadratic fields with class numbers divisible by n,” Journal of Number Theory, vol. 5, pp. 237–241, 1973. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
7. Y. Yamamoto, “Divisibility by 16 of class number of quadratic fields whose 2-class groups are cyclic,” Osaka Journal of Mathematics, vol. 21, no. 1, pp. 1–22, 1984. View at MathSciNet
8. N. C. Ankeny and S. Chowla, “On the divisibility of the class number of quadratic fields,” Pacific Journal of Mathematics, vol. 5, pp. 321–324, 1955. View at Zentralblatt MATH · View at MathSciNet
9. K. Belabas and E. Fouvry, “Sur le 3-rang des corps quadratiques de discriminant premier ou presque premier,” Duke Mathematical Journal, vol. 98, no. 2, pp. 217–268, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
10. P. Barrucand and H. Cohn, “Note on primes of type $x^2+32y^2$, class number, and residuacity,” Journal für die Reine und Angewandte Mathematik, vol. 238, pp. 67–70, 1969. View at MathSciNet
11. H. Bauer, “Zur berechnung der 2-klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen diskriminantenprimteilern,” Journal für die Reine und Angewandte Mathematik, vol. 248, pp. 42–46, 1971. View at MathSciNet
12. H. Hasse, “Über die teilbarkeit durch 2³ der Klassenzahl imaginärquadratischer Zahlkörper mit genau zwei verschiedenen diskriminantenprimteilern,” Journal für die Reine und Angewandte Mathematik, vol. 241, pp. 1–6, 1970. View at MathSciNet
13. P. Kaplan, K. S. Williams, and K. Hardy, “Divisibilité par 16 du nombre des classes au sens strict des corps quadratiques réels dont le deux-groupe des classes est cyclique,” Osaka Journal of Mathematics, vol. 23, no. 2, pp. 479–489, 1986. View at Zentralblatt MATH · View at MathSciNet
14. D. Byeon and S. Lee, “Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors,” Japan Academy. Proceedings. Series A. Mathematical Sciences, vol. 84, no. 1, pp. 8–10, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
15. M. J. Cowles, “On the divisibility of the class number of imaginary quadratic fields,” Journal of Number Theory, vol. 12, no. 1, pp. 113–115, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
16. R. A. Mollin, “Diophantine equations and class numbers,” Journal of Number Theory, vol. 24, no. 1, pp. 7–19, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet