Lower bounds for determinants of matrices associated with classes of arithmetical FunctionsFootnote

^∗supported by National Natural Science Foundation of china.

References

• Apostol , T. M. 1976 . Introduction to Analytic Number Theory , New York : Springer-Verlag .
   Google Scholar
• Bourque , K. and Ligh , S. 1993 . Matrices associated with classes of arithmetical . Journal of Number Theory , 45 : 367 – 376 .
   Web of Science ®Google Scholar
• Bourque , K. and Ligh , S. 1993 . Matrices associated with arithmetical functions . Linear and Multilinear Algebra , 34 : 261 – 267 .
   Google Scholar
• Haukkanen , P. 1996 . On meet matrices on posets . Linear Algebra Appl , 249 : 111 – 123 .
   Web of Science ®Google Scholar
• Hong , S. 1998 . Bounds for determinants of matrices associated with class of arithmetical functions . Linear Algebra Appl , 281 : 311 – 322 .
   Web of Science ®Google Scholar
• Lancaster , P. and Tismenetsky , M. 1985 . The Theory of Matrices , New York : Academic Press . Second Edition: with Applications
   Google Scholar
• Vaidyanathaswamy , R. 1930 . The identical equations of the multiplicative . Bull. Amer. Math. Soc. , 36 : 762 – 772 .
   Google Scholar