Research Article
BibTex RIS Cite

Katalan Sayılar ve Modüler Aritmetik

Year 2012, Volume: 2 Issue: 4 , 63 - 66 , 31.12.2012

Engin Özkan , Sedat Dervişoğlu

https://izlik.org/JA82DX39DZ

Abstract

Modüler aritmetikte Katalan sayıları asal sayılar için incelenmiş ve onunla ilgili bazı teoremler ispatlanmıştır. Ayrıca, p asal sayı olmak üzere, mod p, mod p2 ve mod p3 için Katalan sayılarla ilgili teoremler verilmiştir

Keywords

Wolstenholme’s theorem Lucas teoremi asal sayılar

References

  • Dummit, D.S., Foote, R.M., 2004. Abstract algebra. Third Edition, John Wiley and Sons, Inc., United States.
  • Stanica, P., 2003. -Catalan numbers and squarefree binomial coefficients. Journal of Number Theory, 100: 203-216.
  • Wolstenholme, J., 1862. On certain properties of prime numbers, Quarterly Journal of Mathematics 5: 3539.
  • Yeh, Y., Eu, S., Liu, S., 2008. Catalan and Motzkin numbers modulo 4 and 8. European Journal of Combinatorics, 29: 1449-1466.

Catalan Numbers and Modular Arithmetic

Year 2012, Volume: 2 Issue: 4 , 63 - 66 , 31.12.2012

Engin Özkan , Sedat Dervişoğlu

https://izlik.org/JA82DX39DZ

Abstract

For prime numbers, we examined Catalan numbers in modula arithmetic and proved some theorems

about them. Also, some theorems concerning with Catalan numbers for mod p, mod p2 and mod p3 such that p were

given.

Keywords

Wolstenholme’s theorem Lucas theorem prime numbers

References

  • Dummit, D.S., Foote, R.M., 2004. Abstract algebra. Third Edition, John Wiley and Sons, Inc., United States.
  • Stanica, P., 2003. -Catalan numbers and squarefree binomial coefficients. Journal of Number Theory, 100: 203-216.
  • Wolstenholme, J., 1862. On certain properties of prime numbers, Quarterly Journal of Mathematics 5: 3539.
  • Yeh, Y., Eu, S., Liu, S., 2008. Catalan and Motzkin numbers modulo 4 and 8. European Journal of Combinatorics, 29: 1449-1466.
There are 4 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Research Article
Authors

Engin Özkan

Sedat Dervişoğlu This is me

Submission Date June 20, 2012
Acceptance Date November 1, 2012
Publication Date December 31, 2012
IZ https://izlik.org/JA82DX39DZ
Published in Issue Year 2012 Volume: 2 Issue: 4

Cite

APA Özkan, E., & Dervişoğlu, S. (2012). Katalan Sayılar ve Modüler Aritmetik. Journal of the Institute of Science and Technology, 2(4), 63-66. https://izlik.org/JA82DX39DZ
AMA 1.Özkan E, Dervişoğlu S. Katalan Sayılar ve Modüler Aritmetik. J. Inst. Sci. and Tech. 2012;2(4):63-66. https://izlik.org/JA82DX39DZ
Chicago Özkan, Engin, and Sedat Dervişoğlu. 2012. “Katalan Sayılar Ve Modüler Aritmetik”. Journal of the Institute of Science and Technology 2 (4): 63-66. https://izlik.org/JA82DX39DZ.
EndNote Özkan E, Dervişoğlu S (December 1, 2012) Katalan Sayılar ve Modüler Aritmetik. Journal of the Institute of Science and Technology 2 4 63–66.
IEEE [1]E. Özkan and S. Dervişoğlu, “Katalan Sayılar ve Modüler Aritmetik”, J. Inst. Sci. and Tech., vol. 2, no. 4, pp. 63–66, Dec. 2012, [Online]. Available: https://izlik.org/JA82DX39DZ
ISNAD Özkan, Engin - Dervişoğlu, Sedat. “Katalan Sayılar Ve Modüler Aritmetik”. Journal of the Institute of Science and Technology 2/4 (December 1, 2012): 63-66. https://izlik.org/JA82DX39DZ.
JAMA 1.Özkan E, Dervişoğlu S. Katalan Sayılar ve Modüler Aritmetik. J. Inst. Sci. and Tech. 2012;2:63–66.
MLA Özkan, Engin, and Sedat Dervişoğlu. “Katalan Sayılar Ve Modüler Aritmetik”. Journal of the Institute of Science and Technology, vol. 2, no. 4, Dec. 2012, pp. 63-66, https://izlik.org/JA82DX39DZ.
Vancouver 1.Engin Özkan, Sedat Dervişoğlu. Katalan Sayılar ve Modüler Aritmetik. J. Inst. Sci. and Tech. [Internet]. 2012 Dec. 1;2(4):63-6. Available from: https://izlik.org/JA82DX39DZ