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math.NT2025
Simultaneous nonvanishing of Dirichlet -functions in Galois orbits
Hung M. Bui, Alexandra Florea, Hieu T. Ngo
Under the Generalized Riemann Hypothesis, we prove that given any two distinct imprimitive Dirichlet characters modulo , a positive proportion of characters m…
math.NT2025
Nonvanishing of --functions associated to fixed order characters over function fields
Chantal David, Alexandra Florea, Matilde Lalin
We show that a positive proportion of the values are non-zero, where is the residue symbol for over , when aver…
math.NT2025
The shifted convolution problem in function fields
Alexandra Florea, Matilde Lalín, Amita Malik +1
We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of where runs over moni…