Integers represented as the sum of one prime, two squares of primes and powers of $2$

Authors:
Guangshi Lü and Haiwei Sun

Journal:
Proc. Amer. Math. Soc. **137** (2009), 1185-1191

MSC (2000):
Primary 11P32, 11P05, 11N36, 11P55

DOI:
https://doi.org/10.1090/S0002-9939-08-09603-2

Published electronically:
September 26, 2008

MathSciNet review:
2465639

Full-text PDF Free Access

Abstract | References | Similar Articles | 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 $83$ powers of $2$.

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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

MR Author ID:
856910

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.