On sums of three squares
Jan Wójcik (1971)
Colloquium Mathematicae
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Displaying similar documents to “An odd square as a sum of an odd number of odd squares”
On sums of three squares
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. ...
On squares of squares II
Andrew Bremner (2001)
Acta Arithmetica
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On the Reconstruction of Latin Squares
Ratko Tošić (1980)
Publications de l'Institut Mathématique
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Sums of twelve squares
James G. Huard, Kenneth S. Williams (2003)
Acta Arithmetica
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On the computer algebra implementation of the least squares method on the nonnegative orthant.
Ikramov, Kh.D., Matin Far, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Determinants of Latin squares of order 8.
Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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Finding almost squares
Tsz Ho Chan (2006)
Acta Arithmetica
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Linear recurrences as sums of squares
Mariusz Skałba (2012)
Acta Arithmetica
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Visual Magic Squares and Group Orbits I
John Pais, Richard Singer (2004)
Visual Mathematics
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On squares of differentiable functions
M. Kuczma (1969)
Annales Polonici Mathematici
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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.
The disjoint -flower intersection problem for Latin squares.
Lefevre, James G., McCourt, Thomas A. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Some results on magic squares based on generating magic vectors and R-C similar transformations
Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)
Special Matrices
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In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating...
Mixed sums of squares and triangular numbers
Zhi-Wei Sun (2007)
Acta Arithmetica
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The number of orthogonal Latin squares
K. Szajowski (1976)
Applicationes Mathematicae
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On melancholic magic squares
Götz Trenkler, Dietrich Trenkler (2013)
Discussiones Mathematicae Probability and Statistics
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Starting with Dürer's magic square which appears in the well-known copper plate engraving Melencolia we consider the class of melancholic magic squares. Each member of this class exhibits the same 86 patterns of Dürer's magic square and is magic again. Special attention is paid to the eigenstructure of melancholic magic squares, their group inverse and their Moore-Penrose inverse. It is seen how the patterns of the original Dürer square to a large extent are passed down also to the inverses...