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

How to cite

top

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

top
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.