Geodesic
MINOR ARC MOMENTS OF WEYL SUMS
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 97-113

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DOI

We obtain an improved bound for the 2k-th moment of a degree k Weyl sum, restricted to a set of minor arcs, when k is small. We then present some applications of this bound to some Diophantine problems, including a case of the Waring–Goldbach problem, and a particular family of Diophantine equations defined as the sum of a norm form and a diagonal form.
DOI : 10.1017/S0017089512000365
Mots-clés : 11L15, 11P55 
HARVEY, M. P. MINOR ARC MOMENTS OF WEYL SUMS. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 97-113. doi: 10.1017/S0017089512000365
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     title = {MINOR {ARC} {MOMENTS} {OF} {WEYL} {SUMS}},
     journal = {Glasgow mathematical journal},
     pages = {97--113},
     year = {2013},
     volume = {55},
     number = {1},
     doi = {10.1017/S0017089512000365},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000365/}
}
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