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Mathematics of Computation

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A numerical survey of the floors of various Hilbert fundamental domains

Author: Harvey Cohn
Journal: Math. Comp. 19 (1965), 594-605
MSC: Primary 10.23
MathSciNet review: 0195818
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  • [1] H. Cohn, A Second Course in Number Theory, Wiley, New York, 1962. MR 0133281 (24:A3115)
  • [2] H. Cohn, "On the shape of the fundamental domain of the Hilbert modular group," Theory of Numbers, A. L. Whiteman (Ed.), Proc. Sympos. Pure Math. Vol. 8, Amer. Math. Soc., Providence, R. I., 1965, pp. 190-202. MR 0174528 (30:4729)
  • [3] R. H. DeVore, The Lowest Points in the Fundamental Domain of the Hilbert Modular Group for $ Q({5^{1/2}})$ and $ Q({2^{1/2}})$, Ph.D. Dissertation, University of Arizona, Tucson, Ariz., 1964.
  • [4] J. Nymann, Ideal Structure in Relative-quadratic Fields arising from Fixed-points of the Hilbert Modular Group, Ph.D. Dissertation, University of Arizona, Tucson, Ariz., 1965.
  • [5] C. L. Siegel, Lectures on Advanced Analytic Number Theory, Tata Institute, 1961. MR 0262150 (41:6760)

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Article copyright: © Copyright 1965 American Mathematical Society

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