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An upper bound for the
norm of a GCD-related matrix
Journal of Inequalities and Applications volume 2006, Article number: 25020 (2006)
Abstract
We find an upper bound for the
norm of the
matrix whose
entry is
, where
and
are the greatest common divisor and the least common multiple of
and
and where
and
are real numbers. In fact, we show that if
and
, then
for all positive integers
, where
is the Riemann zeta function.
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Haukkanen, P. An upper bound for the
norm of a GCD-related matrix.
J Inequal Appl 2006, 25020 (2006). https://doi.org/10.1155/JIA/2006/25020
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Keywords
- Positive Integer
- Real Number
- Zeta Function
- Great Common Divisor
- Riemann Zeta Function
