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math.NT2024
Conditional upper bounds on the least character non-residue
Aritro Pathak
We extend known methods to establish upper bounds on the least character non-residues contingent on different zero-free regions within the critical strip, in particular on bounded…
math.AP2024
A counterexample for pointwise upper bounds on Green's function with a singular drift at boundary
Aritro Pathak
We show an example of a sequence of elliptic operators in the unit ball with drifts that diverge as the inverse distance to the boundary, for which we do not get uniform upper esti…