Skip to main content
SpringerLink
Log in

Preface

  • Rational Approximants for the Euler Constant and Recurrence Relations
  • Published:
Proceedings of the Steklov Institute of Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R. Apéry, “Irrationalite de ζ(2) et ζ(3),” Asterisque 61, 11–13 (1979).

    MATH  Google Scholar 

  2. Yu. V. Nesterenko, “Some Remarks on ζ(3),” Mat. Zametki 59(6), 865–880 (1996).

    MathSciNet  Google Scholar 

  3. T. Rivoal and W. Zudilin, “Diophantine Properties of Numbers Related to Catalan’s Constant,” Math. Ann. 326(4), 705–721 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  4. W. Zudilin, “Well-Poised Hypergeometric Service for Diophantine Problems of Zeta Values,” J. Theorie Nombres Bordeaux 15(2), 593–626 (2003).

    MATH  MathSciNet  Google Scholar 

  5. V. N. Sorokin, “An Algorithm for Fast Computation of π 4,” Preprint No. 28 (Keldysh Inst. Applied Math., Russian Acad. Sci., Moscow, 2002).

    Google Scholar 

  6. A. I. Aptekarev, A. Branquinho, and W. Van Assche, “Multiple Orthogonal Polynomials for Classical Weights,” Trans. Amer. Math. Soc. 355(10), 3887–3914 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  7. D. V. Khristoforov, “Recurrence Relations for Hermite-Padé Approximants for a System of Four Functions of Markov and Stieltjes Type,” in Modern Problems of Mathematics, Ed. by A. I. Aptekarev (Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk, Moscow, 2006), Vol. 9, pp. 11–26 [in Russian]; Proc. Sleklov Inst. Math. 272, Suppl. 2, 141–150 (2011).

    Google Scholar 

  8. A. I. Bogolyubskii, “Recurrence Relations with Rational Coefficients for Multiple Orthogonal Polynomials Determined by the Rodrigues Formula,” in Modern Problems of Mathematics, Ed. by A. I. Aptekarev (Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk, Moscow, 2006), Vol. 9, pp. 27–35 [in Russian]; Proc. Sleklov Inst. Math. 272, Suppl. 2, 151–155 (2011).

    Google Scholar 

  9. A. I. Aptekarev and D. N. Tulyakov, “Four-Term Recurrence Relations for γ-Forms,” in Modern Problems of Mathematics, Ed. by A. I. Aptekarev (Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk, Moscow, 2006), Vol. 9, pp. 37–43 [in Russian]; Proc. Sleklov Inst.Math. 272, Suppl. 2, 156–160 (2011).

    Google Scholar 

  10. D. N. Tulyakov, “A Procedure for Finding Asymptotic Expansions for Solutions of Difference Equations,” in Modern Problems of Mathematics, Ed. by A. I. Aptekarev (Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk, Moscow, 2006), Vol. 9, pp. 45–53 [in Russian]; Proc. Sleklov Inst. Math. 272, Suppl. 2, 161–166 (2011).

    Google Scholar 

  11. A. I. Aptekarev and V. G. Lysov, “Asymptotic γ-Forms Generated by Multiple Orthogonal Polynomials,” in Modern Problems of Mathematics, Ed. by A. I. Aptekarev (Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk, Moscow, 2006), Vol. 9, pp. 55–62 [in Russian]; Proc. Sleklov Inst. Math. 272, Suppl. 2, 167–172 (2011).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Pl. 4, Moscow, 125047, Russia

    A. I. Aptekarev

Authors
  1. A. I. Aptekarev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © A.I. Aptekarev, 2007, published in Sovremennye Problemy Matematiki, 2007, Vol. 9, pp. 5–10.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aptekarev, A.I. Preface. Proc. Steklov Inst. Math. 272 (Suppl 2), 138–141 (2011). https://doi.org/10.1134/S0081543811030072

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0081543811030072

Keywords

Search

Navigation