$B_{2}$-sequences whose terms are squares

J. Cilleruelo

Displaying similar documents to “ $B_{2}$ -sequences whose terms are 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 the representation of rational functions as sums of squares

J. Cassels (1964)

Acta Arithmetica

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On squares of squares II

Andrew Bremner (2001)

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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On orthogonal Latin $p$ -dimensional cubes

Marián Trenkler (2005)

Czechoslovak Mathematical Journal

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We give a construction of $p$ orthogonal Latin $p$ -dimensional cubes (or Latin hypercubes) of order $n$ for every natural number $n \neq 2, 6$ and $p \geq 2$ . Our result generalizes the well known result about orthogonal Latin squares published in 1960 by R. C. Bose, S. S. Shikhande and E. T. Parker.