Equal sums of two kth powers

TD Browning

doi:10.1006/jnth.2002.2800

Equal sums of two kth powers

TD Browning

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

9 Citations (Scopus)

Abstract

Let k>4 be an integer, and let x>0 be a real number. We derive a bound for the number of positive integers less than or equal to x which can be represented as a sum of two non-negative coprime kth powers, in essentially more than one way.

Translated title of the contribution	Equal sums of two kth powers
Original language	English
Pages (from-to)	293 - 318
Number of pages	26
Journal	Journal of Number Theory
Volume	96 (2)
DOIs	https://doi.org/10.1006/jnth.2002.2800
Publication status	Published - Oct 2002

Bibliographical note

Publisher: Journal of Number Theory
Other identifier: IDS Number: 607MC

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10.1006/jnth.2002.2800

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title = "Equal sums of two kth powers",

abstract = "Let k>4 be an integer, and let x>0 be a real number. We derive a bound for the number of positive integers less than or equal to x which can be represented as a sum of two non-negative coprime kth powers, in essentially more than one way.",

author = "TD Browning",

note = "Publisher: Journal of Number Theory Other identifier: IDS Number: 607MC ",

year = "2002",

month = oct,

doi = "10.1006/jnth.2002.2800",

language = "English",

volume = "96 (2)",

pages = "293 -- 318",

journal = "Journal of Number Theory",

issn = "1096-1658",

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T1 - Equal sums of two kth powers

AU - Browning, TD

N1 - Publisher: Journal of Number Theory Other identifier: IDS Number: 607MC

PY - 2002/10

Y1 - 2002/10

N2 - Let k>4 be an integer, and let x>0 be a real number. We derive a bound for the number of positive integers less than or equal to x which can be represented as a sum of two non-negative coprime kth powers, in essentially more than one way.

AB - Let k>4 be an integer, and let x>0 be a real number. We derive a bound for the number of positive integers less than or equal to x which can be represented as a sum of two non-negative coprime kth powers, in essentially more than one way.

U2 - 10.1006/jnth.2002.2800

DO - 10.1006/jnth.2002.2800

M3 - Article (Academic Journal)

SN - 1096-1658

VL - 96 (2)

SP - 293

EP - 318

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Equal sums of two kth powers

Abstract

Bibliographical note

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