Explicit bounds are given for |S| where S sums χ(g(x)) e_{p^m}(f(x)) over x mod p^m, such as 3^{4/3} p^{m(1-1/D)} for non-degenerate cases with odd p and deg_p(f) ≥ 1.
Weil,On some exponential sums, Proc
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Mixed character sums modulo prime powers
Explicit bounds are given for |S| where S sums χ(g(x)) e_{p^m}(f(x)) over x mod p^m, such as 3^{4/3} p^{m(1-1/D)} for non-degenerate cases with odd p and deg_p(f) ≥ 1.