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The kernel of the matrix [i.j mod n] when n is prime

Title
The kernel of the matrix [i.j mod n] when n is prime
Type
Article in International Scientific Journal
Year
2016
Authors
M. I. Bueno
(Collaborator)
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Susana Borges Furtado
(Author)
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J. Karkoska
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K. Mayfield
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R. Samalis
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A. Telatovich
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Journal
Title: InvolveImported from Authenticus Search for Journal Publications
Vol. 9 No. 2
Pages: 265-280
ISSN: 1944-4176
Other information
Authenticus ID: P-013-XQT
Abstract (EN): In this paper, we consider the n×n matrix whose (i,j)-th entry is ij(modn) and compute its rank and a basis for its kernel (viewed as a matrix over the real numbers) when n is prime. We also give a conjecture on the rank of this matrix when n is not prime and give a set of vectors in its kernel, which is a basis if the conjecture is true. Finally, we include an application of this problem to number theory.
Type (Professor's evaluation): Scientific
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