Ternary additive problems of Waring's type.
Page 1
Displaying 1 – 13 of 13
The application of a new mean value theorem to the fractional parts of polynomials
Trevor D. Wooley (1993)
Acta Arithmetica
The average order of two arithmetical functions
M. Dodson (1969)
Acta Arithmetica
The fifth taxicab number is 48988659276962496.
Wilson, David W. (1999)
Journal of Integer Sequences [electronic only]
The Galois Cohomology of Pythagorean Fields.
Bill Jacob (1981/1982)
Inventiones mathematicae
The number of powers of 2 in a representation of large odd integers
Liqun Hu, Li Yang (2011)
Acta Arithmetica
The number Γ(k) in Waring's problem
Christian Elsholtz (2008)
Acta Arithmetica
The representation of almost all numbers as sums of unlike powers
M. B. S. Laporta, T. D. Wooley (2001)
Journal de théorie des nombres de Bordeaux
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.
The sum of divisors of a quadratic form
Lilu Zhao (2014)
Acta Arithmetica
We study the sum τ of divisors of the quadratic form m₁² + m₂² + m₃². Let . We obtain the asymptotic formula S₃(X) = C₁X³logX + C₂X³ + O(X²log⁷X), where C₁,C₂ are two constants. This improves upon the error term obtained by Guo and Zhai (2012).
The Tarry-Escott and the "easier" Waring problems.
E.M. Wright (1979)
Journal für die reine und angewandte Mathematik
The Waring-Goldbach problem for cubes
Xiumin Ren (2000)
Acta Arithmetica
Theoreme de Pfister pour les varietes et anneaux de Witt reduits.
L. Mähe (1986)
Inventiones mathematicae
Théorèmes généraux sur l'impossibilité des équations cubiques indéterminées
E. Lucas (1880)
Bulletin de la Société Mathématique de France
Currently displaying 1 – 13 of 13
Page 1