Average orders of multiplicative arithmetical functions of integer matrices

G. Bhowmik; O. Ramaré

Acta Arithmetica (1994)

  • Volume: 66, Issue: 1, page 45-62
  • ISSN: 0065-1036

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G. Bhowmik, and O. Ramaré. "Average orders of multiplicative arithmetical functions of integer matrices." Acta Arithmetica 66.1 (1994): 45-62. <http://eudml.org/doc/206591>.

@article{G1994,
author = {G. Bhowmik, O. Ramaré},
journal = {Acta Arithmetica},
keywords = {Dirichlet series; convolution product of multiplicative arithmetical functions; integer matrices; divisor functions},
language = {eng},
number = {1},
pages = {45-62},
title = {Average orders of multiplicative arithmetical functions of integer matrices},
url = {http://eudml.org/doc/206591},
volume = {66},
year = {1994},
}

TY - JOUR
AU - G. Bhowmik
AU - O. Ramaré
TI - Average orders of multiplicative arithmetical functions of integer matrices
JO - Acta Arithmetica
PY - 1994
VL - 66
IS - 1
SP - 45
EP - 62
LA - eng
KW - Dirichlet series; convolution product of multiplicative arithmetical functions; integer matrices; divisor functions
UR - http://eudml.org/doc/206591
ER -

References

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  1. [1] G. Bhowmik, Average orders of certain functions connected with arithmetic of matrices, J. Indian Math. Soc. 60 (1993), to appear. Zbl1015.11511
  2. [2] G. Bhowmik, Divisor functions of integer matrices: evaluations, average orders and applications, Astérisque 209 (1992), 169-177. Zbl0787.11007
  3. [3] U. Christian, Über teilerfremde symmetrische Matrizenpaare, J. Reine Angew. Math. 229 (1968), 43-49. 
  4. [4] J. Knopfmacher, Solomon's zeta function and enumeration of lattices over orders, Analysis 5 (1985), 29-42. Zbl0572.12005
  5. [5] E. Krätzel, Estimates in the general divisor problem, Abh. Math. Sem. Univ. Hamburg 62 (1992), 191-206. Zbl0776.11057
  6. [6] V. C. Nanda, Arithmetic functions of matrices and polynomial identities, in: Colloq. Math. Soc. János Bolyai 34, North-Holland, 1984, 1107-1126. 
  7. [7] V. C. Nanda, On arithmetical functions of integer matrices, J. Indian Math. Soc. 55 (1990), 175-188. Zbl0734.11004
  8. [8] V. C. Nanda, Arithmetic of matrices, manuscript. 
  9. [9] M. Newman, Integer Matrices, Academic Press, New York, 1972. 

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