The number of restricted solutions of some systems of linear congruences
Rendiconti del Seminario Matematico della Università di Padova, Tome 54 (1975), pp. 59-68. 
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     author = {Mc Carthy, P. J.},
     title = {The number of restricted solutions of some systems of linear congruences},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {59--68},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {54},
     year = {1975},
     mrnumber = {439744},
     zbl = {0342.10002},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1975__54__59_0/}
}
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Mc Carthy, P. J. The number of restricted solutions of some systems of linear congruences. Rendiconti del Seminario Matematico della Università di Padova, Tome 54 (1975), pp. 59-68. http://archive.numdam.org/item/RSMUP_1975__54__59_0/

[1] E. Cohen, An extension of Ramanujan's sum, Duke Math. J., 16 (1949), pp. 85-90. | MR | Zbl

[2] E. Cohen, Rings of arithmetic functions, Duke Math. J., 19 (1952), pp. 115-129. | MR | Zbl

[3] E. Cohen, A class of arithmetical functions, Proc. Nat. Acad. Sci. U.S.A., 41 (1955), pp. 939-944. | MR | Zbl

[4] E. Cohen, An extension of Ramanujan's sum, III, Connection with totient functions, Duke Math. J., 23 (1956), pp. 623-630. | MR | Zbl

[5] E. Cohen, Arithmetical functions associated with the unitary divisors of an integer, Math. Zeit., 74 (1960), pp. 66-80. | MR | Zbl

[6] E. Cohen, A class of arithmetical functions in several variables with applications to congruences, Trans. Amer. Math. Soc., 96 (1960), pp. 355-381. | MR | Zbl

[7] E. Cohen, Unitary functions (mod r), I, Duke Math. J., 28 (1961), pp. 475-486. | MR | Zbl

[8] K.G. Ramanathan, Some applications of Ramanujan's trigonometric sum Cm(n), Proc. Indian Acad. Sci. (A) 20 (1944), pp. 62-69. | MR | Zbl

[9] M.V. Subba Rao - V.C. Harris, A new generalization of Ramanujan's sum, J. London Math. Soc., 41 (1966), pp. 595-604. | MR | Zbl

[10] M. Sugunamma, Eckford Cohen's generalizations of Ramanujan's trigonometrical sum C(n, r), Duke Math. J., 27 (1960), pp. 323-330. | MR | Zbl