Bounds for the cubic Weyl sum

Bounds for the cubic Weyl sum

Subject to the abc-conjecture, we improve the standard Weyl estimate for cubic exponential sums in which the argument is a quadratic irrational. Specifically. we show that, for any ε > 0 and any quadratic irrational α ∈ ℝ-ℚ. Classically one would have had the (unconditional) exponent 3/4 + ε...

書誌詳細
第一著者:	Heath-Brown, DR
フォーマット:	Journal article
言語:	English
出版事項:	2010

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