Universal Waring theorems with cubic summands
L. Dickson (1935)
Acta Arithmetica
Similarity:
L. Dickson (1935)
Acta Arithmetica
Similarity:
Vsevolod F. Lev (2008)
Acta Arithmetica
Similarity:
Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
Similarity:
Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
Similarity:
Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
Similarity:
Zhi-Wei Sun (2001)
Acta Arithmetica
Similarity:
Trevor D. Wooley (2015)
Acta Arithmetica
Similarity:
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.
Tingting Wang (2012)
Acta Arithmetica
Similarity:
Imre Z. Ruzsa (2004)
Acta Arithmetica
Similarity:
William Ellison (2013)
Acta Arithmetica
Similarity:
If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of...
Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Similarity:
Kuba, Markus, Prodinger, Helmut, Schneider, Carsten (2008)
Integers
Similarity:
Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
Similarity: