Geodesic
Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
Journal of the European Mathematical Society, Tome 20 (2018) no. 10, pp. 2333-2356.

Voir la notice de l'article provenant de la source EMS Press

We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition. Our methods employ the arithmetic harmonic analysis of smooth quartic Weyl sums and also a new estimate for their tenth moment.
DOI : 10.4171/jems/813
Classification : 11-XX, 00-XX
Mots-clés : Quartic Diophantine equations, Hardy–Littlewood method 
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     author = {J\"org Br\"udern and Trevor D. Wooley},
     title = {Arithmetic harmonic analysis for smooth quartic {Weyl} sums: three additive equations},
     journal = {Journal of the European Mathematical Society},
     pages = {2333--2356},
     publisher = {mathdoc},
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     year = {2018},
     doi = {10.4171/jems/813},
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Jörg Brüdern; Trevor D. Wooley. Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations. Journal of the European Mathematical Society, Tome 20 (2018) no. 10, pp. 2333-2356. doi : 10.4171/jems/813. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/813/

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