The binary-prefix characterization of as a generalized eigenvalue of LCM and GCD matrices
Let T={1,…,n}T=\{1,\dots,n\}T={1,…,n} with n>3n>3n>3. Write LT{\bf L}_TLT and GT{\bf G}_TGT for the LCM and GCD matrices indexed by TTT, respectively, and call λ\lambdaλ a g-eigenvalue of LT{\bf L}_TLT to…