Linear recurrences as sums of squares
Mariusz Skałba (2012)
Acta Arithmetica
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Displaying similar documents to “Sums of squares and products of Jacobsthal numbers.”
Linear recurrences as sums of squares
On sums of squares of Pell-Lucas numbers.
Čerin, Zvonko, Gianella, Gian Mario (2006)
Integers
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Sums of twelve squares
James G. Huard, Kenneth S. Williams (2003)
Acta Arithmetica
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On sums of three squares
Jan Wójcik (1971)
Colloquium Mathematicae
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Sums of squares, cubes, and higher powers.
Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Mixed sums of squares and triangular numbers
Zhi-Wei Sun (2007)
Acta Arithmetica
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On the sum of two squares and two powers of k
Roger Clement Crocker (2008)
Colloquium Mathematicae
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It can be shown that the positive integers representable as the sum of two squares and one power of k (k any fixed integer ≥ 2) have positive density, from which it follows that those integers representable as the sum of two squares and (at most) two powers of k also have positive density. The purpose of this paper is to show that there is an infinity of positive integers not representable as the sum of two squares and two (or fewer) powers of k, k again any fixed integer ≥ 2. ...
Sums of Squares Coprime in Pairs
Jörg Brüdern (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.
Finding almost squares
Tsz Ho Chan (2006)
Acta Arithmetica
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Some new transformations for Bailey pairs and WP-Bailey pairs
James Mc Laughlin (2010)
Open Mathematics
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We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding transformations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series.
Metrical results on sums of squares and prime values of the integer parts of sequences
Paul Rowe (2005)
Acta Arithmetica
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An odd square as a sum of an odd number of odd squares
Heng Huat Chan, Shaun Cooper, Wen-Chin Liaw (2008)
Acta Arithmetica
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On Sums of Four Coprime Squares
A. Schinzel (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is proved that all sufficiently large integers satisfying the necessary congruence conditions mod 24 are sums of four squares prime in pairs.
On Some Sets Of Integers With Equal Sums Of Like Powers
Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Distribution of integers that are sums of three squares of primes
Jianya Liu, Tao Zhan (2001)
Acta Arithmetica
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On the sets of sequences that are strongly -bounded and -convergent to naught with index .
de Malafosse, Bruno (2003)
Rendiconti del Seminario Matematico
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Waring's problem for fields
William Ellison (2013)
Acta Arithmetica
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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...
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.
Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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