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 Cet article a éte moissonné depuis la source EMS Press

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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
Keywords: Quartic Diophantine equations, Hardy–Littlewood method 
@article{JEMS_2018_20_10_a0,
     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},
     year = {2018},
     volume = {20},
     number = {10},
     doi = {10.4171/jems/813},
     url = {http://geodesic.mathdoc.fr/articles/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

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