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Combinatorial and arithmetic identities based on formal group laws

Part of the Lecture Notes in Mathematics book series (LNM,volume 1298)

Abstract

We define generalised Bernoulli and Stirling numbers based on a formal group law, and investigate some of their properties; in particular we give analogues of the classical "Kummer congruences". As a sample application we use these to compute some products and Massey products in the cohomology of a certain universal "Hopf algebroid", which arises in algebraic topology as the Adams-Novikov E2-term.

AMS Mathematics Subject Classification (1980)

  • Primary 14L05, 55N22
  • Secondary 10A40, 55T15

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References

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© 1987 Springer-Verlag

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Baker, A. (1987). Combinatorial and arithmetic identities based on formal group laws. In: Aguadé, J., Kane, R. (eds) Algebraic Topology Barcelona 1986. Lecture Notes in Mathematics, vol 1298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082998

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  • DOI: https://doi.org/10.1007/BFb0082998

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18729-5

  • Online ISBN: 978-3-540-48122-5

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