3 problems
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The semisimple-quotient conjecture for submodule zeta functions
Semisimple-quotient conjecture. For almost all ,
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The simple-pole conjecture for generic nilpotent matrix-algebra submodule zeta functions
Simple-pole conjecture. Generic local submodule zeta functions associated with nilpotent matrix algebras have a simple pole at zero.
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Degree and limiting-value conjecture for submodule zeta functions of nilpotent endomorphism algebras
Degree and limiting-value conjecture. If is almost uniform, so that…