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Number Theory pp 101–111Cite as

Klein's paradox, the icosahedron, and ring class fields

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1135))

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References

  1. H. Cohn: Iterated ring class fields and the icosahedron. Math. Ann. 255, 107–122, (1981).

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  2. H. Cohn: An explicit modular equation in two variables and Hilbert's twelfth problem. Math. Comp. 38, 227–236, (1982).

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  3. H. Cohn: Some examples of Weber-Hecke ring class field theory. Math. Ann. 265, 83–100, (1983).

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  4. H. Cohn: Iterated ring class fields and the 168-tesselation, (manuscript).

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  5. E. Hecke: Höhere Modulfunktionen und ihre Anwendung auf der Zahlentheorie. Math. Ann. 71, 1–37, (1912).

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  6. Klein F.: Vorlesungen uber das Icosaeder und die Auflősung der Gleichung vom fűnften Grade. Leipzig: Teubner 1884.

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  7. Klein F., Fricke. R.: Vorlesungen uber die Theorie der elliptischen Modulfunktionen I, II. Leipzig: Teubner 1890, 1892.

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  8. Weber H.: Elliptsche Funktionen und algebraischen Zahlen, Braunschweig: Vieweg 1891.

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Authors and Affiliations

  1. Department of Mathematics, College of The City of New York, 10031, New York, N.Y.

    Harvey Cohn

Authors
  1. Harvey Cohn
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David V. Chudnovsky Gregory V. Chudnovsky Harvey Cohn Melvyn B. Nathanson

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© 1985 Springer-Verlag

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Cohn, H. (1985). Klein's paradox, the icosahedron, and ring class fields. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074602

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  • DOI: https://doi.org/10.1007/BFb0074602

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15649-9

  • Online ISBN: 978-3-540-39535-5

  • eBook Packages: Springer Book Archive

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