BibTex RIS Cite
Year 2019, Volume: 2 Issue: 1, 1 - 11, 01.01.2019

Abstract

References

  • Gopalan M.A., Vidhyalaksfmi S. , Özer Ö., “A Collection of Pellian Equation (Solutions and Properties)”, Akinik Publications, New Delhi, INDIA, 2018.
  • Ireland K. and Rosen M., A Classical Introduction to Modern Number Theory, 2nd ed., Graduate Texts in Mathematics,vol. 84, Springer-Verlag, New York, 1990.
  • Jimbo, H.C. and Ngongo, I.S., Application of Limit Theorem to sum of Legendre Symbols, Acta Math. Univ. Comenianae, Vol. (submitted to AMUC), pp. 1-5.
  • Kohnen, W., An Elemenary Proof in the Theory of Quadratic Resıdues, Bull. Korean Math. Soc. 45 (2008), No. 2, pp. 273-275.
  • Lemmermeyer, F. Reciprocity Laws: from, Euler to Eisenstien. Berlin Hiedelberg New York: Springer-Verlag,2000.
  • Mathmdmb, Primitive Roots,Order, Quadratic Residue, Lecture Notes, March 30, 2011.
  • Mollin R.A., Fundamental Number theory with Applications, CRC Press, 2008.
  • Özer Ö., A Note On The Particular Sets With Size Three, Boundary Field Problems and Computer Simulation Journal, 55, 56-59, 2016.
  • Özer Ö., On The Some Particular Sets, Kırklareli University Journal of Engineering and Science, 2, 99-108, 2016.
  • Özer Ö., Some Properties of The Certain Pt Sets, International Journal of Algebra and Statistics, Vol. 6; 1-2 , 117-130, 2017.
  • Özer Ö., On The Some Nonextandable Regular |L Sets, Malaysian Journal of Mathematical Sciences 12(2): 255–266, 2018.
  • Özer Ö., Dubey O.P., On Some Particular Regular Diophantine 3-Tuples, Mathematics in Natural Sciences, (Accepted).
  • Stillwell, J. Elements of Number Theory. New York: Springer-Verlag, 2003.

Some Results on Especial Diophantine Sets with Size-3

Year 2019, Volume: 2 Issue: 1, 1 - 11, 01.01.2019

Abstract

Purpose of this paper is to determine some regular non-extendible D n triples for some fixed integer n. Besides, paper includes a number of algebraic properties for such diophantine sets with size three

References

  • Gopalan M.A., Vidhyalaksfmi S. , Özer Ö., “A Collection of Pellian Equation (Solutions and Properties)”, Akinik Publications, New Delhi, INDIA, 2018.
  • Ireland K. and Rosen M., A Classical Introduction to Modern Number Theory, 2nd ed., Graduate Texts in Mathematics,vol. 84, Springer-Verlag, New York, 1990.
  • Jimbo, H.C. and Ngongo, I.S., Application of Limit Theorem to sum of Legendre Symbols, Acta Math. Univ. Comenianae, Vol. (submitted to AMUC), pp. 1-5.
  • Kohnen, W., An Elemenary Proof in the Theory of Quadratic Resıdues, Bull. Korean Math. Soc. 45 (2008), No. 2, pp. 273-275.
  • Lemmermeyer, F. Reciprocity Laws: from, Euler to Eisenstien. Berlin Hiedelberg New York: Springer-Verlag,2000.
  • Mathmdmb, Primitive Roots,Order, Quadratic Residue, Lecture Notes, March 30, 2011.
  • Mollin R.A., Fundamental Number theory with Applications, CRC Press, 2008.
  • Özer Ö., A Note On The Particular Sets With Size Three, Boundary Field Problems and Computer Simulation Journal, 55, 56-59, 2016.
  • Özer Ö., On The Some Particular Sets, Kırklareli University Journal of Engineering and Science, 2, 99-108, 2016.
  • Özer Ö., Some Properties of The Certain Pt Sets, International Journal of Algebra and Statistics, Vol. 6; 1-2 , 117-130, 2017.
  • Özer Ö., On The Some Nonextandable Regular |L Sets, Malaysian Journal of Mathematical Sciences 12(2): 255–266, 2018.
  • Özer Ö., Dubey O.P., On Some Particular Regular Diophantine 3-Tuples, Mathematics in Natural Sciences, (Accepted).
  • Stillwell, J. Elements of Number Theory. New York: Springer-Verlag, 2003.
There are 13 citations in total.

Details

Primary Language English
Journal Section Some Notes on the Extendibility of an Especial Family of Diophantine 𝑷𝟐 Pairs
Authors

Özen Özer This is me

Publication Date January 1, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Özer, Ö. (2019). Some Results on Especial Diophantine Sets with Size-3. Journal of Advanced Mathematics and Mathematics Education, 2(1), 1-11.