Skip to main content
SpringerLink
Log in

Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers

  • Published:
Mathematische Zeitschrift 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. André, D.: Développements de secx et de tanx. C.r. Acad. Sci. Paris88, 965–967 (1879)

    Google Scholar 

  2. André, D.: Sur les permutations alternées. J. Math. pur. appl.7, 167–184 (1881)

    Google Scholar 

  3. Burnside, W.: Theory of Groups of Finite Order. New York: Dover 1911, Reprint 1955

    Google Scholar 

  4. Carlitz, L., Scoville, R.: Generalized Eulerian numbers: combinatorial applications, J. reine angew. Math.265, 110–137 (1974)

    Google Scholar 

  5. Comtet, L.: Analyse Combinatoire, Vol. 2. Paris: Presses Universitaires de France 1970

    Google Scholar 

  6. Foata, D.: Groupes de réarrangements et nombres d'Euler. C.r. Acad. Sci. Paris275, 1147–1150 (1972)

    Google Scholar 

  7. Foata, D., Schützenberger, M.-P.: Théorie géométrique des polynômes eulériens. Lecture Notes in Math., 138. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  8. Foata, D., Schützenberger, M.-P.: Nombres d'Euler et permutations alternantes. In: A Survey of Combinatorial Theory Sympos. Colorado State Univ. (Colorado 1971). Amsterdam: Horth-Holland 1973, pp. 173–187

    Google Scholar 

  9. Frobenius, G.: Über die Bernoullischen Zahlen und die Eulerschen Polynome. Sitzungsberichte der königlichen preussischen Akademie der Wissenschaften zu Berlin 809–847 (1910)

  10. Netto, E.: Lehrbuch der Combinatorik. Leipzig: Teubner 1901

    Google Scholar 

  11. Nielsen, N.: Traité élémentaire des nombres de Bernoulli. Paris: Gauthier-Villars 1923

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Recherche Mathématique Alsacien, Université Louis-Pasteur, 7, rue René Descartes, 67084, Strasbourg, France

    Dominique Foata

  2. Institut für Informatik I, Universität Erlangen, Bismarckstraße 6, 852, Erlangen, Federal Republic of Germany

    Volker Strehl

Authors
  1. Dominique Foata
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Volker Strehl
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Foata, D., Strehl, V. Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers. Math Z 137, 257–264 (1974). https://doi.org/10.1007/BF01237393

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01237393

Keywords

Search

Navigation