On the Bombieri-Korobov estimate for Weyl sums
Scott T. Parsell (2009)
Acta Arithmetica
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Scott T. Parsell (2009)
Acta Arithmetica
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Siu-lun Alan Lee (2012)
Acta Arithmetica
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Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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M. Pavlović (1995)
Publications de l'Institut Mathématique
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M. B. S. Laporta, T. D. Wooley (2001)
Journal de théorie des nombres de Bordeaux
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We prove in this article that almost all large integers have a representation as the sum of a cube, a biquadrate, ..., and a tenth power.
Vsevolod F. Lev (2008)
Acta Arithmetica
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Trevor D. Wooley (2015)
Acta Arithmetica
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Estimates are provided for sth moments of cubic smooth Weyl sums, when 4 ≤ s ≤ 8, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.
Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Kenneth R. Kellum (1974)
Colloquium Mathematicae
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Bassam Fayad (2006)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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