Divisor functions of integer matrices: evaluations, average orders and applications
Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 169-177. 
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     title = {Divisor functions of integer matrices: evaluations, average orders and applications},
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Bhowmik, Gautami. Divisor functions of integer matrices: evaluations, average orders and applications, dans Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 169-177. http://archive.numdam.org/item/AST_1992__209__169_0/

[1] G. E. Andrews, The Theory of Partitions, Encyclopedia of Math. and its Appl., vol. 2, Addison-Wesley Publishing Co., 1976.

[2] G. Bhowmik, Completely Multiplicative Arithmetical Functions of Matrices and Certain Partition Identities, Journal of Indian Mathematical Society, 56 (1991), 77-83.

[3] G. Bhowmik-, Average Orders of Certain Functions Connected with Arithmetic of Matrices (to appear in JIMS).

[4] G. Bhowmik-, The Divisor and Summatory Functions of Integer Matrices (to appear).

[5] G. Bhowmik- and A. Krieg, Manuscript.

[6] A. Krieg, Hecke Algebras, Memoirs of the AMS, no. 435, vol. 87, 1990.

[7] V. C. Nanda, Arithmetic Functions of Matrices and Polynomial Identities, Colloq. Math. Soc. Janos Bolyai, 34 (1982), 1107-1126.

[8] V. C. Nanda, Arithmetic of Matrices: Manuscript.

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

[10] A. Terras, Harmonic Analysis on Symmetric Spaces and AppHcations II, Springer-Verlag, New York-Berlin-Heidelberg, 1988.