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Subjects
11-XX Number theory
11Pxx Additive number theory; partitions
11P55 Applications of the Hardy-Littlewood method

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Conditions suffisantes d'équirépartition modulo 1 . Problème de Waring-Golbach pour f (x) == Xc , c non entier.

Philippe TOFFIN (1974/1975)

Seminaire de Théorie des Nombres de Bordeaux

Conditions suffisantes d’équirépartition modulo $1$ . Problème de Waring-Goldbach pour $f (x) = x^{c}$ , $c$ non entier

Philippe Toffin (1974/1975)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Corrigendum of A Note on the Exceptional Set for Goldbach's Problem in Short Intervals.

A. Perelli, J. Pintz, J. Kaczorowski (1995)

Monatshefte für Mathematik

Corrigendum to the paper "Additive problems with prime numbers of special type" (Acta Arith. 96 (2000), 53-88)

D. I. Tolev (2002)

Acta Arithmetica

Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Jörg Brüdern, Trevor D. Wooley (2015)

Journal of the European Mathematical Society

We establish the non-singular Hasse principle for pairs of diagonal quartic equations in 22 or more variables. Our methods involve the estimation of a certain entangled two-dimensional 21st moment of quartic smooth Weyl sums via a novel cubic moment of Fourier coefficients.

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