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

Voir la notice de l'article provenant de la source Cambridge University Press

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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