Research Article
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Katalan Sayılar ve Modüler Aritmetik

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

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

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

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.

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 Matematik / Mathematics
Authors

Engin Özkan

Sedat Dervişoğlu This is me

Publication Date December 31, 2012
Submission Date June 20, 2012
Acceptance Date November 1, 2012
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.
AMA Özkan E, Dervişoğlu S. Katalan Sayılar ve Modüler Aritmetik. J. Inst. Sci. and Tech. December 2012;2(4):63-66.
Chicago Özkan, Engin, and Sedat Dervişoğlu. “Katalan Sayılar Ve Modüler Aritmetik”. Journal of the Institute of Science and Technology 2, no. 4 (December 2012): 63-66.
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 E. Özkan and S. Dervişoğlu, “Katalan Sayılar ve Modüler Aritmetik”, J. Inst. Sci. and Tech., vol. 2, no. 4, pp. 63–66, 2012.
ISNAD Özkan, Engin - Dervişoğlu, Sedat. “Katalan Sayılar Ve Modüler Aritmetik”. Journal of the Institute of Science and Technology 2/4 (December 2012), 63-66.
JAMA 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, 2012, pp. 63-66.
Vancouver Özkan E, Dervişoğlu S. Katalan Sayılar ve Modüler Aritmetik. J. Inst. Sci. and Tech. 2012;2(4):63-6.