Sums of five almost equal prime squares

被引：9

作者：

Bauer, C ^{[1
]}

机构：

[1] Dolby Labs, San Francisco, CA 94103 USA

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 04期

关键词：

prime numbers; exponential sums; L-functions;

D O I：

10.1007/s10114-004-0506-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P-i, 1 <= i <= 5, be prime numbers. It is proved that every integer N that satisfies N (mod 24) can be written as N = P-1(2) + P-1(2) + P-1(2) + p(4)(2) + P-5(2), where vertical bar root N5 - p(i)vertical bar <= N1/2 - 19/850 + epsilon.

引用

页码：833 / 840

页数：8

共 43 条

[1] Sums of Five Almost Equal Prime Squares
Claus BAUER
ActaMathematicaSinica(EnglishSeries), 2005, 21 (04) : 833 - 840
[2] Sums of Five Almost Equal Prime Squares
Claus Bauer
Acta Mathematica Sinica, 2005, 21 : 833 - 840
[3] SUMS OF ALMOST EQUAL PRIME SQUARES
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[4] Sums of almost equal squares of primes
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[5] Hua's theorem on sums of five prime squares in arithmetic progressions
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[6] The structure of prime sums
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[7] On some exponential sums over prime numbers
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[8] On sums of squares of primes II
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[9] On Dirichlet series for sums of squares
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[10] Exponential sums modulo prime powers
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