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Beta-elements and divided congruences

Jens Hornbostel, Niko Naumann

math.ATarXiv:math/0508466

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.

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