Einige Beziehungen zwischen stabiler Homotopietheorie und Zahlentheorie. (Some relations between stable homotopy theory and number theory) (Q915196)

This is an expository paper on two applications of number theory to the stable homotopy groups of spheres. Application 1. Bernoulli numbers appear in the description of the image of the Adams e-invariant. Application 2. The theory of formal groups leads to an algebraic number theoretic approach to the \(E^ 2\)-term (the starting point) of the Adams-Novikov spectral sequence for computing the stable groups of spheres.