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Bazı Pell Denklemlerinin Temel Çözümleri

Year 2013, Volume: 17 Issue: 1, 125 - 129, 01.04.2013

Abstract

Let a,b and n are positive integers. In this paper, we find continued fraction expansion of √d when d=a^2 b^2+2b, a^2 b^2+b,a^2±2,a^2±a. We will use continued fraction expansion of √d in order to get the fundamental solutions to the equations x²-dy²=±1 when d=a^2 b^2+2b, a^2 b^2+b,a^2±2,a^2±a

References

  • Adler, A. and Coury, J. E., The Theory of Numbers: A Text and Source Book of Problems, Jones and Bartlett Publishers, Boston, MA, 1995.
  • R. Mollin, Fundamental Number Theory with Applications, Crc Press, 1998.
  • T. Nagell, Introduction to Number Theory, Chelsea Publishing Company, New York, 1981.
  • Don Redmond, Number Theory: An Introduction, Markel Dekker, Inc, 1996.
  • John P. Robertson, Solving the generalized Pell equation

Fundamental Solutions to Some Pell Equations

Year 2013, Volume: 17 Issue: 1, 125 - 129, 01.04.2013

Abstract

Let

References

  • Adler, A. and Coury, J. E., The Theory of Numbers: A Text and Source Book of Problems, Jones and Bartlett Publishers, Boston, MA, 1995.
  • R. Mollin, Fundamental Number Theory with Applications, Crc Press, 1998.
  • T. Nagell, Introduction to Number Theory, Chelsea Publishing Company, New York, 1981.
  • Don Redmond, Number Theory: An Introduction, Markel Dekker, Inc, 1996.
  • John P. Robertson, Solving the generalized Pell equation
There are 5 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Research Articles
Authors

Merve Güney This is me

Refik Keskin This is me

Publication Date April 1, 2013
Submission Date May 3, 2012
Acceptance Date July 20, 2012
Published in Issue Year 2013 Volume: 17 Issue: 1

Cite

APA Güney, M., & Keskin, R. (2013). Bazı Pell Denklemlerinin Temel Çözümleri. Sakarya University Journal of Science, 17(1), 125-129. https://doi.org/10.16984/saufbed.23930
AMA Güney M, Keskin R. Bazı Pell Denklemlerinin Temel Çözümleri. SAUJS. April 2013;17(1):125-129. doi:10.16984/saufbed.23930
Chicago Güney, Merve, and Refik Keskin. “Bazı Pell Denklemlerinin Temel Çözümleri”. Sakarya University Journal of Science 17, no. 1 (April 2013): 125-29. https://doi.org/10.16984/saufbed.23930.
EndNote Güney M, Keskin R (April 1, 2013) Bazı Pell Denklemlerinin Temel Çözümleri. Sakarya University Journal of Science 17 1 125–129.
IEEE M. Güney and R. Keskin, “Bazı Pell Denklemlerinin Temel Çözümleri”, SAUJS, vol. 17, no. 1, pp. 125–129, 2013, doi: 10.16984/saufbed.23930.
ISNAD Güney, Merve - Keskin, Refik. “Bazı Pell Denklemlerinin Temel Çözümleri”. Sakarya University Journal of Science 17/1 (April 2013), 125-129. https://doi.org/10.16984/saufbed.23930.
JAMA Güney M, Keskin R. Bazı Pell Denklemlerinin Temel Çözümleri. SAUJS. 2013;17:125–129.
MLA Güney, Merve and Refik Keskin. “Bazı Pell Denklemlerinin Temel Çözümleri”. Sakarya University Journal of Science, vol. 17, no. 1, 2013, pp. 125-9, doi:10.16984/saufbed.23930.
Vancouver Güney M, Keskin R. Bazı Pell Denklemlerinin Temel Çözümleri. SAUJS. 2013;17(1):125-9.