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- W2034298439 abstract "Let S = {x1, x2,… xn} be a set of distinct positive integers. The n × n matrix [S] = ((sij)), where sij = (xi, xj), the greatest common divisor of xi and xj, is called the greatest common divisor (GCD) matrix on S. We study the structure of a GCD matrix and obtain interesting relations between its determinant. Euler's totient function, and Moebius function. We also determine some arithmetic progressions related to GCD matrices. Then we generalize the results to general partially ordered sets and show a variety of applications." @default.
- W2034298439 created "2016-06-24" @default.
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- W2034298439 date "1991-11-01" @default.
- W2034298439 modified "2023-10-18" @default.
- W2034298439 title "On greatest common divisor matrices and their applications" @default.
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- W2034298439 doi "https://doi.org/10.1016/0024-3795(91)90051-w" @default.
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