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We construct a ``logarithmic'' cohomology operation on Morava E-theory, whichis a homomorphism defined on the multiplicative group of invertible elements inthe ring E^0(K) of a space K. We obtain a formula for this map in terms of theaction of Hecke operators on Morava E-theory. Our formula is closely related tothat for an Euler factor of the Hecke L-function of an automorphic form.

The units of a ring spectrum and a logarithmic cohomology operation