Distribution of integers that are sums of three squares of primes
Jianya Liu, Tao Zhan (2001)
Acta Arithmetica
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Jianya Liu, Tao Zhan (2001)
Acta Arithmetica
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Lilu Zhao (2014)
Acta Arithmetica
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By developing the method of Wooley on the quadratic Waring-Goldbach problem, we prove that all sufficiently large even integers can be expressed as a sum of four squares of primes and 46 powers of 2.
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.
Guangshi Lü (2007)
Acta Arithmetica
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Xiumin Ren (2006)
Acta Arithmetica
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D. I. Tolev (2000)
Acta Arithmetica
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D. I. Tolev (2002)
Acta Arithmetica
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William D. Banks, Ahmet M. Güloğlu, C. Wesley Nevans (2007)
Acta Arithmetica
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Hongze Li (2007)
Acta Arithmetica
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Antal Balog (1985)
Banach Center Publications
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Hongze Li (2001)
Acta Arithmetica
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Tao Liu (2004)
Acta Arithmetica
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Yingchun Cai, Minggao Lu (2003)
Acta Arithmetica
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Jörg Brüdern, Etienne Fouvry (1994)
Journal für die reine und angewandte Mathematik
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Hongze Li (2003)
Acta Arithmetica
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Glyn Harman (2006)
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.
Zhixin Liu, Guangshi Lü (2010)
Acta Arithmetica
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Hakan Ali-John Seyalioglu (2009)
Acta Arithmetica
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