Skip to main content

On certain arithmetical sums

  • Conference paper
  • First Online:
The Theory of Arithmetic Functions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 251))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. E. Dickson, History of the Theory of Numbers, Vol. 1, New York, 1934.

    Google Scholar 

  2. Eckford Cohen, An extension of Ramanujan's sum, Duke Math. J. 16 (1949), 85–90.

    Article  MathSciNet  MATH  Google Scholar 

  3. Eckford Cohen, An extension of Ramanujan's sum III, Connections with totient functions, Duke Math. J. 23 (1956), 623–630.

    Article  MathSciNet  MATH  Google Scholar 

  4. Eckford Cohen, Some totient functions, Duke Math. J. 23 (1956), 515–522.

    Article  MathSciNet  MATH  Google Scholar 

  5. Eckford Cohen, A class of arithmetical functions in several variables with applications to congruences, Trans. Amer. Math. Soc. 96 (1960), 355–381.

    Article  MathSciNet  MATH  Google Scholar 

  6. Eckford Cohen, Arithmetical functions associated with the unitary divisors of an integer, Math. Z. 74 (1960), 66–80.

    Article  MathSciNet  MATH  Google Scholar 

  7. P. Kesava Menon, On the sum Σ (a-n), (a,n)=1, J. Indian Math. Soc. 29 (1965), 155–163.

    MathSciNet  MATH  Google Scholar 

  8. P. J. McCarthy, The generation of arithmetical identities, J. Reine Angew. Math. 203 (1960), 55–63.

    MathSciNet  MATH  Google Scholar 

  9. K. Nageswara Rao, On a congruence equation and related arithmetical identities, Monatsh. Math. 71 (1967), 24–31.

    Article  MathSciNet  MATH  Google Scholar 

  10. K. Nageswara Rao, Unitary class division of integers (mod n) and related arithmetical identities, J. Indian Math. Soc. 30 (1966), 195–205.

    MathSciNet  MATH  Google Scholar 

  11. R. Sivaramakrishnan, A generalization of an arithmetic function, J. Indian Math. Soc. 33 (1969), 127–132.

    MathSciNet  MATH  Google Scholar 

  12. M. V. Subbarao, Remarks on a paper of P. Kesava Menon, J. Indian Math. Soc. 32 (1968), 317–318.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Anthony A. Gioia Donald L. Goldsmith

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Springer-Verlag

About this paper

Cite this paper

Nageswara Rao, K. (1972). On certain arithmetical sums. In: Gioia, A.A., Goldsmith, D.L. (eds) The Theory of Arithmetic Functions. Lecture Notes in Mathematics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058793

Download citation

  • DOI: https://doi.org/10.1007/BFb0058793

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05723-9

  • Online ISBN: 978-3-540-37098-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics