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In this note we discuss a generalization ("extension") of the pre-lambdastructure on the Grothendieck ring of quasi-projective varieties and of thecorresponding power structure over it to the Grothendieck ring of stacks,discuss some of their properties and give some explicit formulae for theKapranov zeta function for some stacks.

On the pre-lambda ring structure on the Grothendieck ring of stacks and the power structures over it