Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Tao Liu (2004)
Acta Arithmetica
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Tao Liu (2004)
Acta Arithmetica
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Hongze Li (2007)
Acta Arithmetica
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Hongze Li (2001)
Acta Arithmetica
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D. I. Tolev (2002)
Acta Arithmetica
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D. I. Tolev (2000)
Acta Arithmetica
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Kumchev, A., Tolev, D. (2005)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55. The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number theory. We state the main problems in the field, sketch their history and the basic machinery used to study them, and try to give a representative sample of the directions of current research.
Hoi H. Nguyen, Endre Szemerédi, Van H. Vu (2008)
Acta Arithmetica
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William D. Banks, Ahmet M. Güloğlu, C. Wesley Nevans (2007)
Acta Arithmetica
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Yong-Gao Chen (2012)
Acta Arithmetica
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Liqun Hu, Li Yang (2017)
Open Mathematics
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In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
Joung Min Song (2002)
Acta Arithmetica
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L., Hua (1939)
Mathematische Zeitschrift
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Yingchun Cai (2002)
Acta Arithmetica
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Paul Erdös, Aleksandar Ivić (1982)
Publications de l'Institut Mathématique
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Hongze Li (2008)
Acta Arithmetica
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Müller, Tom (2005)
Journal of Integer Sequences [electronic only]
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Enxun Huang (2023)
Czechoslovak Mathematical Journal
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It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two cubes of primes, two fourth powers of primes and 105 powers of 2.
Yuan Wang (1978-1979)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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