Geodesic
Sums of three cubes, II
Trevor D. Wooley1
1 School of Mathematics University of Bristol University Walk, Clifton Bristol BS8 1TW, United Kingdom
Acta Arithmetica, Tome 170 (2015) no. 1, pp. 73-100.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Estimates are provided for $s$th moments of cubic smooth Weyl sums, when $4\le s\le 8$, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding $X$ that are represented as the sum of three cubes of natural numbers.
DOI : 10.4064/aa170-1-6
Keywords: estimates provided sth moments cubic smooth weyl sums enhancing authors iterative method delivers estimates beyond classical convexity consequence improved lower bound presented number integers exceeding represented sum three cubes natural numbers

Trevor D. Wooley 1

1 School of Mathematics University of Bristol University Walk, Clifton Bristol BS8 1TW, United Kingdom 
@article{10_4064_aa170_1_6,
     author = {Trevor D. Wooley},
     title = {Sums of three cubes, {II}},
     journal = {Acta Arithmetica},
     pages = {73--100},
     publisher = {mathdoc},
     volume = {170},
     number = {1},
     year = {2015},
     doi = {10.4064/aa170-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa170-1-6/}
}
TY  - JOUR
AU  - Trevor D. Wooley
TI  - Sums of three cubes, II
JO  - Acta Arithmetica
PY  - 2015
SP  - 73
EP  - 100
VL  - 170
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa170-1-6/
DO  - 10.4064/aa170-1-6
LA  - en
ID  - 10_4064_aa170_1_6
ER  - 
%0 Journal Article
%A Trevor D. Wooley
%T Sums of three cubes, II
%J Acta Arithmetica
%D 2015
%P 73-100
%V 170
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa170-1-6/
%R 10.4064/aa170-1-6
%G en
%F 10_4064_aa170_1_6
Trevor D. Wooley. Sums of three cubes, II. Acta Arithmetica, Tome 170 (2015) no. 1, pp. 73-100. doi : 10.4064/aa170-1-6. http://geodesic.mathdoc.fr/articles/10.4064/aa170-1-6/

Cité par Sources :