Abstract
We proved some results on the dispersion of the real quadratic irrational numbers, and use LEO 386/25 to compute some numerical results for discriminant <200 (see the attached Table A).
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Drobot, V.: On dispersion and Markov constants. Acta Math. Hungar.47, 89–93 (1986).
Hua, L. K.: An Introduction to the Number Theory. Berlin-Heidelberg-New York: Springer. 1982.
Koksma, J. F.: Diophantische Approximationen. Berlin: Springer. 1936.
Lu, H.: On the class-number of real quadratic fields. Scientia Sinica, special issue (II) on Math. 118–130 (1979).
Lu, H.: The continued fractions, class number and the others. Scientia Sinica (A)V.26, 1276–1284 (1983).
Niederreiter, H.: On a measure of denseness for sequences. In: Topics in Classical Number Theory, Vol. 2, pp. 1163–1208. Amsterdam: North-Holland. 1984.
Tripathi, A.: A comparison of dispersion and Markov constants. Acta Arithmetica.63, 193–203 (1993).
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The project was supported by a grant from NNSF of P.R. China.
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Ji, G., Lu, H. On dispersion and Markov constants. Monatshefte für Mathematik 121, 69–77 (1996). https://doi.org/10.1007/BF01299639
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DOI: https://doi.org/10.1007/BF01299639