The Hasse principle for pairs of diagonal cubic forms

Joerg Bruedern; Trevor D. Wooley

The Hasse principle for pairs of diagonal cubic forms

Joerg Bruedern^*, Trevor D. Wooley

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

13 Citations (Scopus)

Abstract

By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.

Original language	English
Pages (from-to)	865-895
Number of pages	31
Journal	Annals of Mathematics
Volume	166
Issue number	3
Publication status	Published - Nov 2007

Keywords

SLIM EXCEPTIONAL SETS
WARINGS PROBLEM
ADDITIVE EQUATIONS
CUBES
SUMS
SURFACES

Cite this

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title = "The Hasse principle for pairs of diagonal cubic forms",

abstract = "By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.",

keywords = "SLIM EXCEPTIONAL SETS, WARINGS PROBLEM, ADDITIVE EQUATIONS, CUBES, SUMS, SURFACES",

author = "Joerg Bruedern and Wooley, {Trevor D.}",

year = "2007",

month = nov,

language = "English",

volume = "166",

pages = "865--895",

journal = "Annals of Mathematics",

issn = "0003-486X",

publisher = "Princeton University Press",

number = "3",

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TY - JOUR

T1 - The Hasse principle for pairs of diagonal cubic forms

AU - Bruedern, Joerg

AU - Wooley, Trevor D.

PY - 2007/11

Y1 - 2007/11

N2 - By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.

AB - By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.

KW - SLIM EXCEPTIONAL SETS

KW - WARINGS PROBLEM

KW - ADDITIVE EQUATIONS

KW - CUBES

KW - SUMS

KW - SURFACES

M3 - Article (Academic Journal)

VL - 166

SP - 865

EP - 895

JO - Annals of Mathematics

JF - Annals of Mathematics

SN - 0003-486X

IS - 3

ER -