Limit reduced powers
A. Wojciechowska (1969)
Colloquium Mathematicae
Similarity:
A. Wojciechowska (1969)
Colloquium Mathematicae
Similarity:
Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
Similarity:
Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
Similarity:
Jörg Brüdern (2012)
Acta Arithmetica
Similarity:
Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
Similarity:
Vsevolod F. Lev (2008)
Acta Arithmetica
Similarity:
Lajos Hajdu, Shanta Laishram, Szabolcs Tengely (2016)
Acta Arithmetica
Similarity:
We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.
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...
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.
R.C. Vaughan (1986)
Journal für die reine und angewandte Mathematik
Similarity:
L. Dickson (1936)
Prace Matematyczno-Fizyczne
Similarity:
Liqun Hu, Li Yang (2011)
Acta Arithmetica
Similarity: