Combinatorial and arithmetic identities based on formal group laws

  • Andrew Baker
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1298)


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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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Andrew Baker
    • 1
  1. 1.Mathematics DepartmentManchester UniversityManchesterU.K.

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