Enumerating non-equivalent matrices over principal ideal domains

John Knopfmacher

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 3, page 287-296
  • ISSN: 0139-9918

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Knopfmacher, John. "Enumerating non-equivalent matrices over principal ideal domains." Mathematica Slovaca 44.3 (1994): 287-296. <http://eudml.org/doc/32094>.

@article{Knopfmacher1994,
author = {Knopfmacher, John},
journal = {Mathematica Slovaca},
keywords = {equivalence classes of matrices; finite norm condition; asymptotic formula; number of non-equivalent non-singular matrices},
language = {eng},
number = {3},
pages = {287-296},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Enumerating non-equivalent matrices over principal ideal domains},
url = {http://eudml.org/doc/32094},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Knopfmacher, John
TI - Enumerating non-equivalent matrices over principal ideal domains
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 3
SP - 287
EP - 296
LA - eng
KW - equivalence classes of matrices; finite norm condition; asymptotic formula; number of non-equivalent non-singular matrices
UR - http://eudml.org/doc/32094
ER -

References

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  1. BHOWMIK G., Average orders of certain functions connected with arithmetic of matrices, J. Indian Math. Soc. 60 (1993) (To appear). (1993) Zbl1015.11511MR1248950
  2. KNOPFMACHER J., Abstract Analytic Number Theory, North-Holland/Dover Publications, Amsterdam-New York, 1975/1990. (1975) Zbl0322.10001MR0419383
  3. KNOPFMACHER J., Analytic Arithmetic of Algebraic Function Fields, M. Dekker. New York, 1979. (1979) Zbl0411.10001MR0545904
  4. LANDAU E., Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, Chelsea Publ. Co., New York, 1949. (1949) MR0031002
  5. NARANG A., NANDA V. C., Smith Normal form for matrices over Dedekind domains, J. Indian Math. Soc. 42 (1978), 173-178. (1978) Zbl0479.15011MR0558993
  6. NEWMAN M., Integral Matrices, Academic Press, New York, 1972. (1972) Zbl0254.15009MR0340283

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