ON WARING’S PROBLEM IN SUMS OF THREE CUBES FOR SMALLER POWERS

Javier Pliego Garcia

doi:10.1017/S1446788721000136

ON WARING’S PROBLEM IN SUMS OF THREE CUBES FOR SMALLER POWERS

Javier Pliego Garcia

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

Abstract

We give an upper bound for the minimum s with the property that every sufficiently large integer can be represented as the sum of s positive kth powers of integers, each of which is represented as the sum of three positive cubes for the cases 2≤k≤4.

Original language	English
Pages (from-to)	378-405
Number of pages	28
Journal	Journal of the Australian Mathematical Society
Volume	114
Issue number	3
Early online date	16 Sept 2021
DOIs	https://doi.org/10.1017/S1446788721000136
Publication status	Published - 1 Jun 2023

Bibliographical note

Funding Information:
The author's work was supported in part by a European Research Council Advanced Grant under the European Union's Horizon 2020 research and innovation programme via grant agreement no. 695223 during his studies at the University of Bristol

Funding Information:
The author’s work was supported in part by a European Research Council Advanced Grant under the European Union’s Horizon 2020 research and innovation programme via grant agreement no. 695223 during his studies at the University of Bristol.

Publisher Copyright:
© 2021 Australian Mathematical Publishing Association Inc.

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title = "ON WARING{\textquoteright}S PROBLEM IN SUMS OF THREE CUBES FOR SMALLER POWERS",

abstract = "We give an upper bound for the minimum s with the property that every sufficiently large integer can be represented as the sum of s positive kth powers of integers, each of which is represented as the sum of three positive cubes for the cases 2≤k≤4.",

author = "\{Pliego Garcia\}, Javier",

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N1 - Funding Information: The author's work was supported in part by a European Research Council Advanced Grant under the European Union's Horizon 2020 research and innovation programme via grant agreement no. 695223 during his studies at the University of Bristol Funding Information: The author’s work was supported in part by a European Research Council Advanced Grant under the European Union’s Horizon 2020 research and innovation programme via grant agreement no. 695223 during his studies at the University of Bristol. Publisher Copyright: © 2021 Australian Mathematical Publishing Association Inc.

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N2 - We give an upper bound for the minimum s with the property that every sufficiently large integer can be represented as the sum of s positive kth powers of integers, each of which is represented as the sum of three positive cubes for the cases 2≤k≤4.

AB - We give an upper bound for the minimum s with the property that every sufficiently large integer can be represented as the sum of s positive kth powers of integers, each of which is represented as the sum of three positive cubes for the cases 2≤k≤4.

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DO - 10.1017/S1446788721000136

M3 - Book/Film/Article review (Academic Journal)

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EP - 405

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

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ON WARING’S PROBLEM IN SUMS OF THREE CUBES FOR SMALLER POWERS

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