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math.NT2024
A Note on Large Sums of Divisor-Bounded Multiplicative Functions
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Given a multiplicative function , we let be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded fu…
math.NT2019★ 1 cited
Growth of cohomology of arithmetic groups and the stable trace formula: the case of
Mathilde Gerbelli-Gauthier
We present a strategy to use the stable trace formula to compute growth in the cohomology of cocompact arithmetic lattices in a reductive group . We then implement it in the cas…