A q-series Bernoulli—Euler partition formula

A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 14, 2008, Number 1, Pages 6—9
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Authors and affiliations

A. G. Shannon
Warrane College, The University of New South Wales, Kensington 1465, &
Raffles College, 99 Mount Street, North Sydney, NSW 2065, Australia

Absrtacts

This paper utilized a modification of q-series to develop some partition formulas in the tradition of Bernoulli—Euler—Rogers—Ramanujan identities. Many of the ideas owe their development to the detailed pioneering work of Leonard Carlitz, with the added acknowledgement to the creative work currently being done by other number theorists working in this fertile area.

AMS Classification

  • 11B65
  • 11B39
  • 05A30

References

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  14. Carlitz, L. A Note on Products of Sequences. Bolletino della Unione Matematica Italiana. (4) 1 (1968): 362-365.
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  18. Kim, T. Some Formulae for the q-Bernoulli and Euler Polynomials. Journal of Mathematical Analysis and Applications. 273 (2002): 236-242.
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  20. Kim, T. & S.H. Rim. On Changed q-Euler Numbers and Polynomials. Advanced Studies in Contemporary Mathematics. 9 (2004): 81-86.
  21. Sylvester, J.J. The Collected Mathematical Papers of James Joseph Sylvester. Volume IV (1882-1897). New York: Chelsea, 1973, pp.91,93-94.

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Cite this paper

Shannon A. G. (2008). A q-series Bernoulli—Euler partition formula. Notes on Number Theory and Discrete Mathematics, 14(1), 6-9.

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