Skip to main content
Log in

About a question of Kannappan and Zhang

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

We extend a recent result of Kannappan and Zhang to every ring with characteristic prime.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Davis and W. Webb, A binomial coefficient congruence modulo prime powers, J. Number Theory 43 (1993), no. 1, 20–23.

    Article  MathSciNet  MATH  Google Scholar 

  2. N. J. Fine, Binomial coefficients modulo a prime. Amer. Math. Monthly 54 (1947), 589–592.

    Article  MATH  Google Scholar 

  3. Sang Geun Hahn and Dong Hoon Lee, Some congruences for binomial coefficients. II, Proc. Japan Acad. Ser. A Math. Sci. 76 (2000), no. 7, 104–107.

    Article  MathSciNet  MATH  Google Scholar 

  4. Sang Geun Hahn and Dong Hoon Lee, Some congruences for binomial coefficients, Class field theory—its centenary and prospect (Tokyo, 1998), Math. Soc. Japan, Tokyo, 2001, pp. 445–461.

    Google Scholar 

  5. PL. Kannappan and W. Zhang, Finding sum of powers on arithmetic progressions with application of Cauchy’s equation, Result. Math. 42 (2002), 277–288.

    Article  MathSciNet  MATH  Google Scholar 

  6. G. S. Kazandzidis, Congruences on the binomial coefficients. Bull. Soc. Math. Grèce (N.S.) 9 (1968), no. 1, 1–12.

    MathSciNet  MATH  Google Scholar 

  7. E. Lucas, Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. France 6 (1878), 49–54.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Molteni.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molteni, G. About a question of Kannappan and Zhang. Results. Math. 47, 130–131 (2005). https://doi.org/10.1007/BF03323018

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03323018

Mathematical Subject Classification (2000)

Keywords

Navigation