Regular class division of integers mod r

P. Haukkanen
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 6, 2000, Number 3, Pages 82–87
Full paper (PDF, 183 Kb)

Details

Authors and affiliations

P. Haukkanen
Department of Mathematics, Statistics and Philosophy,
FIN-33014 University of Tampere, Finland

References

  1. E. Cohen: A class of arithmetical functions, Proc. Nat. Acad. Sci. (USA) 41 (1955), 939-944.
  2. E. Cohen: Representations of even functions (mod r), II. Cauchy products, Duke Math. J. 26 (1959), 165-182.
  3. E. Cohen: Arithmetical functions associated with the unitary divisors of an integer, Math. Z. 74 (1960), 66-80.
  4. P. Haukkanen and P. J. McCarthy: Sums of values of even functions, Portugal. Math. 48 (1991), 53-66.
  5. P. J. McCarthy: Regular arithmetical convolutions, Portugal. Math. 27 (1968), 1-13.
  6. P. J. McCarthy: Introduction to Arithmetical Functions, Springer-Verlag Universitext (1986).
  7. K. Nageswara Rao: Unitary class division of integers mod n and related arithmetical identities, J. Indian Math. Soc., n. Ser. 30 (1966), 195-205.
  8. W. Narkiewicz: On a class of arithmetical convolutions, Colloq. Math. 10 (1963), 81-94.
  9. K. G. Ramanathan: Some applications of Ramanujan’s trigonometrical sum Cm(n), Proc. Ind. Acad. Sci. (A) 20 (1944), 62-69.
  10. R. Sivaramakrishnan: Classical Theory of Arithmetic Functions, Marcel Dekker: Monographs and Text Books in Pure and Applied Mathematics No. 126 (1989).
  11. R. Vaidyanathaswamy: A remarkable property of integers (mod N) and its bearing on group theory, Proc. Ind. Acad. Sci. Section A (1937), 63-75.

Related papers

Cite this paper

Haukkanen, P. (2000). Regular class division of integers mod r. Notes on Number Theory and Discrete Mathematics, 6(3), 82-87.

Comments are closed.