An upper bound for the
norm of a GCD-related matrix
- Pentti Haukkanen1Email author
https://doi.org/10.1155/JIA/2006/25020
© Haukkanen 2006
Received: 10 November 2004
Accepted: 9 February 2005
Published: 6 February 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.
Keywords
Authors’ Affiliations
References
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