Average orders of multiplicative arithmetical functions of integer matrices

• Autorzy: G. Bhowmik , O. Ramaré
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 66
• Numer: 1
• Strony: 45-62

Daty

wydano

1994

otrzymano

1993-03-04

Twórcy

autor

G. Bhowmik

• Mathematisches Institut, Westfälische Wilhelms-Universität, Einsteinstrasse 62, 48149 Münster, B.R.D.

autor

O. Ramaré

• School of Mathematics, Institute For Advanced Study, Princeton, New Jersey 08540, U.S.A.

Bibliografia

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