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Theta-series associated with indefinite ternary quadratic forms and the related Dirichlet series

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Abstract

One obtains theoretic-numerical results connected with the investigation of the Fourier coefficients of theta-series, associated with indefinite ternary quadratic forms.

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Literature cited

  1. C. L. Siegel, “Indefinite quadratische Formen und Funktionentheorie. I,” Math. Ann.,124, No. 1, 17–54 (1951).

    Google Scholar 

  2. H. Maass, “Über die räumliche Verteilung der Punkte in Gittern mit indefiniter Metrik,” Math. Ann.,138, No. 4, 287–315 (1959).

    Google Scholar 

  3. K. G. Ramanathan, “On the analytic theory of quadratic forms,” Acta Arith.,21, 423–436 (1972).

    Google Scholar 

  4. C. L. Siegel, “Über die analytische Theorie der quadratischen Forman. I–III,” Ann. Math.,36, 527–606 (1935);37, 230–263 (1936);313, 212–291 (1937).

    Google Scholar 

  5. R. Fricke and F. Klein, Vorlesungen über die Theorie der Automorphen Funktionen, Band I, Teubner, Leipzig (1926).

    Google Scholar 

  6. H. Huber, “Über eine neue Klass automorpher Funktionen und Ein Gitterpunktproblem in der hyperbolischen Ebene. I,” Comment. Math. Helv.,30, No. 1, 20–62 (1956).

    Google Scholar 

  7. B. W. Jones, The Arithmetic Theory of Quadratic Forms, Baltimore (1950).

  8. T. Shintani, “On zeta-functions associated with the vector space of quadratic forms,” J. Fac. Sci. Univ. Tokoyo Sect. IA Math.,22, No. 1, 25–65 (1975).

    Google Scholar 

  9. E. P. Golubeva and O. M. Fomenko, “The distribution of integral points on two-sheeted hyperboloids,” Tr. Mat. Inst. Akad. Nauk SSSR,158, 69–79 (1981).

    Google Scholar 

  10. A. I. Vinogradov and L. A. Takhtadzhyan, “On the Linnik-Skubenko asymptotics,” Dokl. Akad. Nauk SSSR,253, No. 4, 777–780 (1980).

    Google Scholar 

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 112, pp. 41–50, 1981.

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Golubeva, E.P., Fomenko, O.M. Theta-series associated with indefinite ternary quadratic forms and the related Dirichlet series. J Math Sci 25, 999–1006 (1984). https://doi.org/10.1007/BF01680822

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  • DOI: https://doi.org/10.1007/BF01680822

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