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On the Zeros of the Derivative of the Zeta Function of a Ternary Quadratic Form

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The author reports on computing the zeros of the derivative of the zeta function of the quadratic form x 2 + y 2 + z 2. Bibliography: 4 titles.

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References

  1. C. L. Siegel, “Contributions to the theory of the Dirichlet L-series and the Epstein zeta-functions,” Ann. Math., 44, No. 2, 143–172 (1943).

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  2. O. M. Fomenko, “On Epstein’s zeta-function. I,” Zap. Nauchn. Semin. POMI, 286, 169–178 (2002).

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  3. O. M. Fomenko, “On Epstein’s zeta-function. II,” Zap. Nauchn. Semin. POMI, 371, 157–170 (2009).

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  4. N. V. Proskurin, “On the zeros of the zeta function of one ternary quadratic form,” Zap. Nauchn. Semin. POMI, 392, 159–162 (2011).

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    N. V. Proskurin

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  1. N. V. Proskurin
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Correspondence to N. V. Proskurin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 418, 2013, pp. 168–171.

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Proskurin, N.V. On the Zeros of the Derivative of the Zeta Function of a Ternary Quadratic Form. J Math Sci 200, 614–616 (2014). https://doi.org/10.1007/s10958-014-1950-8

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  • DOI: https://doi.org/10.1007/s10958-014-1950-8

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