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- W4287271969 abstract "We consider intersections of n diagonal forms of degrees k 1 < $bullet$ $bullet$ $bullet$ < kn, and we prove an asymptotic formula for the number of rational points of bounded height on these varieties. The proof uses the Hardy-Littlewood method and recent breakthroughs on the Vinogradov system. We also give a sharper result for one specific value of (k 1 ,. .. , kn), using a technique due to Wooley and an estimate on exponential sums derived from a recent approach in the van der Corput's method." @default.
- W4287271969 created "2022-07-25" @default.
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- W4287271969 date "2021-03-12" @default.
- W4287271969 modified "2023-09-26" @default.
- W4287271969 title "Rational points on an intersection of diagonal forms" @default.
- W4287271969 hasPublicationYear "2021" @default.
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