The number of restricted solutions of some systems of linear congruences

P. J. Mc Carthy

Rendiconti del Seminario Matematico della Università di Padova (1975)

  • Volume: 54, page 59-68
  • ISSN: 0041-8994

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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 54 (1975): 59-68. <http://eudml.org/doc/107579>.

@article{McCarthy1975,
author = {Mc Carthy, P. J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {59-68},
publisher = {Seminario Matematico of the University of Padua},
title = {The number of restricted solutions of some systems of linear congruences},
url = {http://eudml.org/doc/107579},
volume = {54},
year = {1975},
}

TY - JOUR
AU - Mc Carthy, P. J.
TI - The number of restricted solutions of some systems of linear congruences
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1975
PB - Seminario Matematico of the University of Padua
VL - 54
SP - 59
EP - 68
LA - eng
UR - http://eudml.org/doc/107579
ER -

References

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  1. [1] E. Cohen, An extension of Ramanujan's sum, Duke Math. J., 16 (1949), pp. 85-90. Zbl0034.02104MR27781
  2. [2] E. Cohen, Rings of arithmetic functions, Duke Math. J., 19 (1952), pp. 115-129. Zbl0046.26001MR47072
  3. [3] E. Cohen, A class of arithmetical functions, Proc. Nat. Acad. Sci. U.S.A., 41 (1955), pp. 939-944. Zbl0066.29203MR75230
  4. [4] E. Cohen, An extension of Ramanujan's sum, III, Connection with totient functions, Duke Math. J., 23 (1956), pp. 623-630. Zbl0073.02902MR80697
  5. [5] E. Cohen, Arithmetical functions associated with the unitary divisors of an integer, Math. Zeit., 74 (1960), pp. 66-80. Zbl0094.02601MR112861
  6. [6] E. Cohen, A class of arithmetical functions in several variables with applications to congruences, Trans. Amer. Math. Soc., 96 (1960), pp. 355-381. Zbl0121.05001MR115967
  7. [7] E. Cohen, Unitary functions (mod r), I, Duke Math. J., 28 (1961), pp. 475-486. Zbl0104.04102MR133290
  8. [8] K.G. Ramanathan, Some applications of Ramanujan's trigonometric sum Cm(n), Proc. Indian Acad. Sci. (A) 20 (1944), pp. 62-69. Zbl0063.06402MR11093
  9. [9] M.V. Subba Rao - V.C. Harris, A new generalization of Ramanujan's sum, J. London Math. Soc., 41 (1966), pp. 595-604. Zbl0163.04301MR200234
  10. [10] M. Sugunamma, Eckford Cohen's generalizations of Ramanujan's trigonometrical sum C(n, r), Duke Math. J., 27 (1960), pp. 323-330. Zbl0099.26704MR114799

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