New bounds for Gauss sums derived from kth powers, and for Heilbronn's exponential sum
We show that ∑pn=1exp(2πiank/p) ≪ min(k5/8p5/8, k3/8p3/4) and ∑pn=1exp(2πianp/p2) ≪ p7/8 when p \(crossed)a. The proof uses a modification of Stepanov's method.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2000
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