The quadratic Waring-Goldbach problem

JY Liu; TD Wooley; G Yu

doi:10.1016/j.jnt.2004.04.011

The quadratic Waring-Goldbach problem

JY Liu
, TD Wooley
, G Yu

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

21 Citations (Scopus)

Abstract

It is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. all positive integers n with n equivalent to 4 (mod 24) are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to O(N3/8+epsilon). (C) 2004 Elsevier Inc. All rights reserved.

Translated title of the contribution	The quadratic Waring-Goldbach problem
Original language	English
Pages (from-to)	298 - 321
Number of pages	24
Journal	Journal of Number Theory
Volume	107 (2)
DOIs	https://doi.org/10.1016/j.jnt.2004.04.011
Publication status	Published - Aug 2004

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Publisher: Academic Press

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title = "The quadratic Waring-Goldbach problem",

abstract = "It is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. all positive integers n with n equivalent to 4 (mod 24) are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to O(N3/8+epsilon). (C) 2004 Elsevier Inc. All rights reserved.",

author = "JY Liu and TD Wooley and G Yu",

note = "Publisher: Academic Press",

year = "2004",

month = aug,

doi = "10.1016/j.jnt.2004.04.011",

language = "English",

volume = "107 (2)",

pages = "298 -- 321",

journal = "Journal of Number Theory",

issn = "1096-1658",

publisher = "Academic Press Inc.",

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T1 - The quadratic Waring-Goldbach problem

AU - Liu, JY

AU - Wooley, TD

AU - Yu, G

N1 - Publisher: Academic Press

PY - 2004/8

Y1 - 2004/8

N2 - It is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. all positive integers n with n equivalent to 4 (mod 24) are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to O(N3/8+epsilon). (C) 2004 Elsevier Inc. All rights reserved.

AB - It is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. all positive integers n with n equivalent to 4 (mod 24) are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to O(N3/8+epsilon). (C) 2004 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.jnt.2004.04.011

DO - 10.1016/j.jnt.2004.04.011

M3 - Article (Academic Journal)

SN - 1096-1658

VL - 107 (2)

SP - 298

EP - 321

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

The quadratic Waring-Goldbach problem

Abstract

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