Integers represented as the sum of one prime, two squares of primes and powers of
Authors:
Guangshi Lü and Haiwei Sun
Journal:
Proc. Amer. Math. Soc. 137 (2009), 11851191
MSC (2000):
Primary 11P32, 11P05, 11N36, 11P55
Published electronically:
September 26, 2008
MathSciNet review:
2465639
Fulltext PDF Free Access
Abstract 
References 
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Additional Information
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:
http://dx.doi.org/10.1090/S0002993908096032
PII:
S 00029939(08)096032
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
Published electronically:
September 26, 2008
Additional Notes:
This work is supported by the National Natural Science Foundation of China (Grant No. 10701048).
Communicated by:
Ken Ono
Article copyright:
© Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
