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Character sums to prime power moduli evaluated at binary quadratic forms (2508.11231v1)
Published 15 Aug 2025 in math.NT
Abstract: We establish estimates for short character sums to prime power moduli evaluated at binary quadratic forms. This complements estimates established by Heath-Brown for such character sums to squarefree moduli. To this end, we use tools from the $p$-adic theory of exponential sums, as initiated by Mili\'cevi\'c.
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