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Primitive integral points on the surface of an elliptic cone

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Literature cited

  1. V. P. Myakishev, “Distribution of primitive integral points on certain cones,” Dokl. Akad. Nauk SSSR,143, No. 4, 785–786 (1962).

    Google Scholar 

  2. G. B. Babaev, Distribution of the Integral Points on Algebraic Surfaces [in Russian], Tajik State Univ., Dushanbe (1966).

    Google Scholar 

  3. M. I. Stronina, “Integral points on right-circular cones,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 8, 112–116 (1969).

    Google Scholar 

  4. K. H. Fischer, “Eine Bemerkung zur Verteilung der pythagoräischen Zahlen tripel,” Monatsh. Math.,87, No. 4, 269–271 (1979).

    Google Scholar 

  5. D. Ismoilov, “Integral points in three-dimensional domains and their applications to cones,” Dokl. Akad. Nauk Tadzh. SSR,16, No. 8, 6–9 (1973).

    Google Scholar 

  6. D. Ismoilov, “On the summation of arithmetical functions,” Dokl. Akad. Nauk Tadzh. SSR,14, No. 11, 7–11 (1971).

    Google Scholar 

  7. Hua Luo K'ang, The Method of Trigonometric Sums and Its Applications in Theory of Numbers [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  8. E. Hecke, Algebraische Zahlen [in German], Chelsea Publ. (1970).

  9. D. Ismoilov, “Distribution of the integral points on an elliptic cone of second order,” Tr. Mekh. Mat. Fak., Dushanbe, No. 2, 102–122 (1972).

    Google Scholar 

  10. Z. I. Borevich and I. P. Shafarevich, Theory of Numbers [in Russian], Nauka, Moscow (1972).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 30, No. 4, pp. 469–479, October, 1981.

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Ismoilov, D. Primitive integral points on the surface of an elliptic cone. Mathematical Notes of the Academy of Sciences of the USSR 30, 725–730 (1981). https://doi.org/10.1007/BF01137798

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