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math.NT2026
Short character sums of inhomogeneous polynomials
Rena Chu
Let be a prime. We prove nontrivial bounds on short sums of Dirichlet characters mod evaluated at a class of polynomials, not necessarily homogeneous, in variables and…
math.NT2025
Estimates for short character sums evaluated at homogeneous polynomials
Rena Chu
Let be a prime. We prove bounds on short Dirichlet character sums evaluated at a class of homogeneous polynomials in arbitrary dimensions. In every dimension, this bound is non…