Title: Beta-elements and divided congruences
Authors: Jens Hornbostel, Niko Naumann
e-mail: jens.hornbostel@mathematik.uni-regensburg.de, niko.naumann@mathematik.uni-regensburg.de
Abstract: The f-invariant is an injective homomorphism from the 2-line of the Adams-Novikov spectral
sequence to a group which is closely related to divided congruences of elliptic modular forms. We compute the f-invariant for two infinite families of beta-elements and explain the
relation of the arithmetic of divided congruences with
the Kervaire invariant one problem.