Average orders of multiplicative arithmetical functions of integer matrices
G. Bhowmik ; O. Ramaré
Acta Arithmetica, Tome 68 (1994), p. 45-62 / Harvested from The Polish Digital Mathematics Library
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:206591
@article{bwmeta1.element.bwnjournal-article-aav66i1p45bwm,
     author = {G. Bhowmik and O. Ramar\'e},
     title = {Average orders of multiplicative arithmetical functions of integer matrices},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {45-62},
     zbl = {0795.11047},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav66i1p45bwm}
}
G. Bhowmik; O. Ramaré. Average orders of multiplicative arithmetical functions of integer matrices. Acta Arithmetica, Tome 68 (1994) pp. 45-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav66i1p45bwm/

[000] [1] G. Bhowmik, Average orders of certain functions connected with arithmetic of matrices, J. Indian Math. Soc. 60 (1993), to appear. | Zbl 1015.11511

[001] [2] G. Bhowmik, Divisor functions of integer matrices: evaluations, average orders and applications, Astérisque 209 (1992), 169-177. | Zbl 0787.11007

[002] [3] U. Christian, Über teilerfremde symmetrische Matrizenpaare, J. Reine Angew. Math. 229 (1968), 43-49.

[003] [4] J. Knopfmacher, Solomon's zeta function and enumeration of lattices over orders, Analysis 5 (1985), 29-42. | Zbl 0572.12005

[004] [5] E. Krätzel, Estimates in the general divisor problem, Abh. Math. Sem. Univ. Hamburg 62 (1992), 191-206. | Zbl 0776.11057

[005] [6] V. C. Nanda, Arithmetic functions of matrices and polynomial identities, in: Colloq. Math. Soc. János Bolyai 34, North-Holland, 1984, 1107-1126.

[006] [7] V. C. Nanda, On arithmetical functions of integer matrices, J. Indian Math. Soc. 55 (1990), 175-188. | Zbl 0734.11004

[007] [8] V. C. Nanda, Arithmetic of matrices, manuscript.

[008] [9] M. Newman, Integer Matrices, Academic Press, New York, 1972.