Skip to main content

Simultaneous maj Statistics

  • Conference paper
The Andrews Festschrift
  • 370 Accesses

Abstract

The generating function for words with several simultaneous maj weights is given. New maj-like Mahonian statistics result. Some applications to integer partitions are given

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Andrews, The Theory of Partitions, Addison-Wesley, Reading, 1976.

    MATH  Google Scholar 

  2. D. Foata and M.-P. Schützenberger, Major index and inversion number of permutations, Math. Nachr. 83 (1978), 143–158.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Galovich and D. White, Recursive statistics on words, Disc. Math. 157 (1996), 169–191.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. MacMahon, Combinatory Analysis (3rd, ed.), Chelsea, New York, 1984.

    Google Scholar 

  5. -The indices of permutations and the derivation therefrom of functions of a single variable associated with the permutations of any assemblage of objects, Amer. J. Math. 35 (1913), 281–322.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kim, D., Stanton, D. (2001). Simultaneous maj Statistics. In: Foata, D., Han, GN. (eds) The Andrews Festschrift. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56513-7_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56513-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41491-9

  • Online ISBN: 978-3-642-56513-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics