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On the problem of computing the values of L-functions

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The aim of the paper is to introduce a general method of numerical calculation of L-functions based on approximate functional equations. Bibliography: 6 titles.

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References

  1. A. F. Lavrik, “Functional equations of the Dirichlet functions,” Izv. Akad. Nauk SSSR Ser. Mat., 31, No. 2, 431–442 (1967).

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  2. A. F. Lavrik, “Approximate functional equations of Dirichlet functions,” Izv. Akad. Nauk SSSR Ser. Mat., 32, No. 1, 134–185 (1968).

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  3. N. V. Proskurin, “Computation of zeros of the L-function associated with the cubic theta-function,” Zap. Nauchn. Semin. POMI, 357, 180–194 (2008).

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  4. N. V. Proskurin, “Computation of Rankin-Selberg convolutions of Maass wave forms L-functions,” in: International Conference on Polynomial Computer Algebra, St. Petersburg (2009), pp. 95–99.

  5. A. Strömbergsson, “On the zeros of L-functions associated to Maass waveforms,” Internat. Math. Res. Notices, 15, 839–851 (1999).

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  6. A. Strömbergsson, “Studies in the analytic and spectral theory of automorphic forms,” Uppsala Dissertations in Math., 17, Uppsala Univ. (2001).

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Authors and Affiliations

  1. St. Petersburg Department of Steklov Institute of Mathematics, 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. 373, 2009, pp. 273–279.

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Proskurin, N.V. On the problem of computing the values of L-functions. J Math Sci 168, 464–467 (2010). https://doi.org/10.1007/s10958-010-9997-7

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  • DOI: https://doi.org/10.1007/s10958-010-9997-7

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