On Waring's problem: some consequences of Golubeva's method

Trevor D. Wooley

doi:10.1112/jlms/jdt047

On Waring's problem: some consequences of Golubeva's method

Trevor D. Wooley^*

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We investigate sums of mixed powers involving two squares, two cubes and various higher powers, concentrating on situations inaccessible to the Hardy-Littlewood method.

Original language	English
Pages (from-to)	699-715
Number of pages	17
Journal	Journal of the London Mathematical Society
Volume	88
DOIs	https://doi.org/10.1112/jlms/jdt047
Publication status	Published - Dec 2013

Keywords

QUADRATIC-FORMS
SUMS
SQUARES
SERIES
POWERS
PRIME

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title = "On Waring's problem: some consequences of Golubeva's method",

abstract = "We investigate sums of mixed powers involving two squares, two cubes and various higher powers, concentrating on situations inaccessible to the Hardy-Littlewood method.",

keywords = "QUADRATIC-FORMS, SUMS, SQUARES, SERIES, POWERS, PRIME",

author = "Wooley, {Trevor D.}",

year = "2013",

month = dec,

doi = "10.1112/jlms/jdt047",

language = "English",

volume = "88",

pages = "699--715",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "Wiley",

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TY - JOUR

T1 - On Waring's problem

T2 - some consequences of Golubeva's method

AU - Wooley, Trevor D.

PY - 2013/12

Y1 - 2013/12

N2 - We investigate sums of mixed powers involving two squares, two cubes and various higher powers, concentrating on situations inaccessible to the Hardy-Littlewood method.

AB - We investigate sums of mixed powers involving two squares, two cubes and various higher powers, concentrating on situations inaccessible to the Hardy-Littlewood method.

KW - QUADRATIC-FORMS

KW - SUMS

KW - SQUARES

KW - SERIES

KW - POWERS

KW - PRIME

U2 - 10.1112/jlms/jdt047

DO - 10.1112/jlms/jdt047

M3 - Article (Academic Journal)

SN - 0024-6107

VL - 88

SP - 699

EP - 715

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

ER -

On Waring's problem: some consequences of Golubeva's method

Abstract

Keywords

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