## Einige Beziehungen zwischen stabiler Homotopietheorie und Zahlentheorie. (Some relations between stable homotopy theory and number theory).(German)Zbl 0702.55012

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.
Reviewer: D.C.Johnson

### MSC:

 55Q10 Stable homotopy groups 55Q40 Homotopy groups of spheres 55T15 Adams spectral sequences