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Integers represented as the sum of one prime, two squares of primes and powers of 
Author(s):
Guangshi
Lü;
Haiwei
Sun
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1185-1191.
MSC (2000):
Primary 11P32, 11P05, 11N36, 11P55
Posted:
September 26, 2008
MathSciNet review:
2465639
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Abstract:
In this short paper we prove that every sufficiently large odd integer can be written as a sum of one prime, two squares of primes and  powers of  .
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Additional Information:
Guangshi
Lü
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong, 250100, People's Republic of China
Email:
gslv@sdu.edu.cn
Haiwei
Sun
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong, 250100, People's Republic of China
DOI:
10.1090/S0002-9939-08-09603-2
PII:
S 0002-9939(08)09603-2
Keywords:
Squares of primes,
powers of $2$,
circle method.
Received by editor(s):
January 30, 2008,
Received by editor(s) in revised form:
April 4, 2008
Posted:
September 26, 2008
Additional Notes:
This work is supported by the National Natural Science Foundation of China (Grant No. 10701048).
Communicated by:
Ken Ono
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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