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math.NT2024
Constructing vector-valued automorphic forms on unitary groups
Thomas L. Browning, Pavel Čoupek, Ellen Eischen +4
We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy emp…
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…