On the sum of two integral squares in quadratic fields ℚ(√±p)
Dasheng Wei (2011)
Acta Arithmetica
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Dasheng Wei (2011)
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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. ...
M. Kuczma (1969)
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Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)
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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...
Lefevre, James G., McCourt, Thomas A. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Séminaire de théorie des nombres de Bordeaux
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