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Stirling and Bernoulli numbers for complex oriented homology theory

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Algebraic Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1370))

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References

  1. J.F. Adams, ’stable homotopy and generalised homology’, Chicago Univ. Press (1972)

    Google Scholar 

  2. A. Baker, ‘Combinatorial and arithmetic identities based on formal group laws’, preprint, Manchester Univ. (1984).

    Google Scholar 

  3. L. Carlitz, ‘The coefficients of the reciprocal of a series’, Duke Math. J. 8, 689–700 (1941).

    Article  MathSciNet  MATH  Google Scholar 

  4. F. Clarke, ‘The proofs of von Staudt’s theorems on the Bernoulli numbers’, preprint, Univ. Coll. Swansea, (1985).

    Google Scholar 

  5. F. Clarke, ‘The universal von Staudt theorems’, preprint, Univ. Coll. Swansea, (1986).

    Google Scholar 

  6. L. Comtet, ‘Advanced combinatorics’, Reidel (1974).

    Google Scholar 

  7. H. Miller, ‘Universal Bernoulli numbers and the S1-transfer’, Current trends in algebraic topology 2, pt. 2, 437–449, CMS-AMS (1982).

    Google Scholar 

  8. D. Ravenel, ‘Complex cobordism and stable homotopy groups of spheres’, Academic Press (1986).

    Google Scholar 

  9. N. Ray, ‘Extensions of umbral calculus: penumbral coalgebras and generalised Bernoulli numbers’, Adv. in Math. 61, 49–100 (1986).

    Article  MathSciNet  MATH  Google Scholar 

  10. N. Ray, ’symbolic calculus: a 19th century approach to MU and BP’, to appear in Proceedings of Durham symposium on homotopy theory, LMS Lecture Note Ser.

    Google Scholar 

  11. J. Riordan, ‘An introduction to combinatorial analysis’, Wiley (1958).

    Google Scholar 

  12. J. Riordan, ‘Combinatorial identities’, Wiley (1968).

    Google Scholar 

  13. S. Roman, ‘The umbral calculus’, Academic Press (1984).

    Google Scholar 

  14. S. Roman & G-C Rota, ‘The umbral calculus’, Adv. in Math. 27, 95–188 (1978).

    Article  MathSciNet  MATH  Google Scholar 

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Gunnar Carlsson Ralph Cohen Haynes Miller Douglas Ravenel

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© 1989 Springer-Verlag

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Ray, N. (1989). Stirling and Bernoulli numbers for complex oriented homology theory. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085240

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  • DOI: https://doi.org/10.1007/BFb0085240

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  • Print ISBN: 978-3-540-51118-2

  • Online ISBN: 978-3-540-46160-9

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