Enlarged major arcs in additive problems. II

被引：17
作者：
Liu, Jianya [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2012年 / 276卷 / 01期
关键词：
WARING-GOLDBACH PROBLEM; SUMS; POWERS; PRIMES;
D O I：
10.1134/S0081543812010154
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Enlarged major arcs of the circle method are treated, and as consequences new bounds for the exceptional sets in the Waring-Goldbach problem for fourth and fifth powers are obtained.
引用
收藏
页码：176 / 192
页数：17
相关论文
共 11 条
[1]  
[Anonymous], [No title captured]
[2]   Small prime solutions of quadratic equations [J].
Choi, KKS ;
Liu, JY .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2002, 54 (01) :71-91
[3]   LARGE SIEVE DENSITY ESTIMATE NEAR SIGMA=1 [J].
GALLAGHER, PX .
INVENTIONES MATHEMATICAE, 1970, 11 (04) :329-+
[4]  
Karatsuba A. A., 1993, BASIC ANAL NUMBER TH, V2nd, DOI DOI 10.1007/978-3-642-58018-5
[5]   On the Waring-Goldbach problem for fourth and fifth powers [J].
Kawada, K ;
Wooley, TD .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2001, 83 :1-50
[6]   On weyl sums over primes and almost primes [J].
Kumchev, Angel V. .
MICHIGAN MATHEMATICAL JOURNAL, 2006, 54 (02) :243-268
[7]   On the Waring-Goldbach problem: Exceptional sets for sums of cubes and higher powers [J].
Kumchev, AV .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2005, 57 (02) :298-327
[8]  
Liu J. Y., 2005, JAPAN J MATH, V31, P379
[9]   Enlarged major arcs in additive problems [J].
Liu, Jianya .
MATHEMATICAL NOTES, 2010, 88 (3-4) :395-401
[10]   On exponential sums over primes and application in Waring-Goldbachproblem [J].
Ren, XM .
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (06) :785-797
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