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math.NT2022
Partial Liouville sums over divisors
Milo Moses
Using sieves and elementary manipulations, we show that the signs of partial sums of the Liouville function over divisors are in a strong sense equally distributed.
math.AC2022
Pontryagin Duality for Modules over Compact Discrete Valuation Rings
Milo Moses
We establish an analogue of Pontryagin duality for modules over compact discrete valuation rings . Namely, we define the dual of a topological module to be its continuous $R…