Selected Papers :

  1. Gökhan Soydan, László Nemeth and László Szalay, On the Diophantine equation F1^p+2F2^p+...+kFk^p=Fn^q, submitted.
  2. Attila Bérczes, István Pink, Gamze Savaş and Gökhan Soydan, On the Diophantine equation (x+1)k+(x+2)k+...+(2x)k=yn, Journal of Number Theory, Vol. 183 (2018), 326-351 (SCI).
  3. Gökhan Soydan, A note on the Diophantine equations x2±5α.pn =yn, Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics,  Vol. 67, No.1 (2018), 335-340 (ESCI).
  4. Gökhan Soydan, On the Diophantine equation (x+1)^k+(x+2)^k+...+(lx)^k=y^n, Publicationes Mathematicae Debrecen, Vol. 91 /3-4 (2017), 369-382 (SCI-EXP).
  5. Gökhan Soydan, Musa Demirci, İsmail Naci Cangül and Alain Togbé, On the conjecture of Jesmanowicz, International Journal of Applied Mathematics & Statistics,  Vol. 56, No.6 (2017), 46-72 (ESCI).
  6. Gökhan Soydan and Nikos Tzanakis, Complete solution of the Diophantine equation x2+5a.11b=ynBulletin of the Hellenic Mathematical Soc., Vol. 60, (2016), 125–151.
  7. Huilin Zhu, Maohua Le, Gökhan Soydan and Alain Togbé, On the exponential Diophantine equation x2+2a.pb=yn , Periodica Mathematica Hungarica, Vol. 70, No.2 (2015), 233-247 (SCI-EXP).
  8. Huilin Zhu, Maohua Le and Gökhan Soydan, On the number of solutions of the Diophantine equation x2+2a.pb=y4, Mathematical Reports, Vol. 17, No.3 (2015), 255-263 (SCI-EXP).
  9. Gökhan Soydan and İsmail Naci Cangül, A note on “On the Diophantine equation nx2+22m=yn, Y. Wang, T. Wang, J. of Number Theory, Vol.131, (2011) 1486-1491”, Journal of Number Theory, Vol. 140, No.7 July (2014), 425-426 (SCI).  
  10. Gökhan Soydan, Corrigendum to On the Diophantine equation x2+7a.11b=yn, Miskolc Mathematical Notes, Vol.13, No.2, (2012) 515-527” Miskolc Mathematical Notes, Vol. 15, No. 1 (2014), 217–217 (SCI-EXP).   
  11. Huilin Zhu, Gökhan Soydan and Wei Qin, A note two Diophantine equations x2±2a.pb=y4, Miskolc Mathematical Notes, Vol. 14, No. 3 (2013), 1105–1111 (SCI-EXP).
  12. İsmail Naci Cangül, Musa Demirci, İlker İnam, Florian Luca and Gökhan Soydan, On the Diophantine Equation x2+2a.3b.11c=yn, Mathematica Slovaca, Vol. 63, No.3 (2013), 647-659 (SCI-EXP)
  13. Florian Luca and Gökhan Soydan, On the Diophantine equation  nx2+2m=yn, Journal of Number Theory, Vol. 132, No.11 November (2012), 2604-2609 (SCI).
  14. Gökhan Soydan, On The Diophantine Equation x2+7a.11b=yn, Miskolc Mathematical Notes, Vol.13, No.2, (2012) 515-527 (SCI-EXP).
  15. Gökhan Soydan, Maciej Ulas and Huilin Zhu, On the Diophantine equation x2+2a.19b=yn, Indian Journal of Pure and Applied Mathematics Vol. 43, No.3, (2012), 251-261 (SCI-EXP).
  16. Gökhan Soydan, Yusuf Doğru and N. Umut Arslandoğan, On the ratio of directed lengths on the plane wıth generalized absolute value metric and and related properties, FILOMAT, Vol. 26, No.1, January 2012, 119-130 (SCI-EXP).
  17. Gökhan Soydan, Yusuf Doğru and N. Umut Arslandoğan, The Pythagorean theorem  and area formula for triangles on the plane with generalized absolute value metric, Creative Mathematics and Informatics Vol. 20, No.1, (2011), 81-99.
  18. İsmail Naci Cangül, Musa Demirci, Gökhan Soydan and Nikos Tzanakis, On the Diophantine equation x2+5a.11b=yn, Functiones et Approximatio Commentarii Mathematici Vol. 43, No.2, (2010), 209-225.
  19. İsmail Naci Cangül, Musa Demirci, Florian Luca, Ákos Pintér and Gökhan Soydan, On the Diophantine equation x2+2a.11b=yn, The Fibonacci Quarterly Vol. 48, No.1, (2010), 39-46.
  20. Gökhan Soydan, Musa Demirci and İsmail Naci Cangül, The Diophantine equation x2+11m=yn, Advanced Studies in Contemporary Mathematics, Vol.19 , No.2, (2009), 183-188 (Web of Science)
  21. Nazlı Yıldız İkikardeş, Musa Demirci, Gökhan Soydan and İsmail Naci Cangül, The group structure of Bachet elliptic curves over finite fields Fp , Miskolc Mathematical Notes, Vol.10, No.2 (2009), 129-136. (SCI-EXP)
  22. İsmail Naci Cangül, Gökhan Soydan and Yılmaz Şimşek, A p-adic look at the Diophantine equation x2+112k=yn, American Institue of Physics Conf. Proc., September 9, 2009, Volume 1168, pp. 275-277. (Numerıcal Analysıs And Applıed Mathematıcs: International Conference on Numerical Analysis and Applied Mathematics 2009: Vol. 1 and Vol. 2; DOI:10.1063/1.3241447.) (Web of Science)
  23. Nazlı Yıldız İkikardeş, Musa Demirci, Gökhan Soydan and İsmail Naci Cangül, The group structure of Frey elliptic curves over finite fields Fp, JP Journal of Algebra, Number Theory and Applications, Vol.10 (2008), No.2, 255-263.
  24. Musa Demirci, Gökhan Soydan and İsmail Naci Cangül, Rational points on elliptic curves y2=x3+a3 in Fp where p1 (mod 6) is prime, Rocky Mountain Journal of Mathematics, Vol.37, No.5, (2007), 1483-1491. (SCI-EXP)
  25. Gökhan Soydan, Musa Demirci, Nazlı Yıldız İkikardeş and İsmail Naci Cangül, Counting the number of Pythagorean triples in finite fields, Advances in Theoretical and Applied Mathematics, Vol.2, No.1,(2007), 77-82.
  26. Musa Demirci, Gökhan Soydan, Nazlı Yıldız İkikardeş and İsmail Naci Cangül, Rational points on Frey elliptic curves on finite fields, Advances in Theoretical and Applied Mathematics, Vol.2, No.2,(2007), 129-136.
  27. Gökhan Soydan, Musa Demirci, Nazlı Yıldız İkikardeş and İsmail Naci Cangül, Rational points on elliptic curves   y2=x3+a3 in Fp where p5 (mod 6) is  prime , International Journal of Mathematics Sciences, Vol. 1, No.4 ,(2007), 247-250.
  28. Gökhan Soydan, Nazlı Yıldız İkikardeş, Musa Demirci and İsmail Naci Cangül, On the additive structure of the set of quadratic residues modulo p, Advanced Studies in Contemporary Mathematics, Vol. 14, No.2, (2007), 251-257. (Web of Science)
  29. Musa Demirci, Nazlı Yıldız İkikardeş, Gökhan Soydan and İsmail Naci Cangül, The number of rational points on elliptic curves y2=x3+a3 on finite fields, International Journal of Mathematics Sciences, Vol. 1, No.4 ,(2007), 255-257.
  30. İlker İnam, Gökhan Soydan, Musa Demirci, Osman Bizim and İsmail Naci Cangül, Corrigendum on “The number of points on elliptic curves E: y2 =x3+ cx over Fp mod 8, Communications of the Korean Mathematics Society, Vol.22, No.2 (2007),207-208.
  31. Nazlı Yıldız İkikardeş, Gökhan Soydan, Musa Demirci and İsmail Naci Cangül, Classification of the Bachet elliptic curves y2=x3+a3 Where p=1 (mod6) is Prime, International Journal of Mathematics Sciences, Vol. 1, No.4 ,(2007), 239-241.
  32. Musa Demirci, Gökhan Soydan and İsmail Naci Cangül, Diophantine equations and congruence subgroups of the Hecke groups H (√2) and H (√3), Advanced Studies in Contemporary Mathematics, Vol.12, No.2 (2006),  309-313. 
  33.  İsmail Naci Cangül, Musa Demirci and Gökhan Soydan, Nazlı Yıldız Ikikardeş, Rational points on elliptic curves y2=x3+a3 in Fp, Proceeding of  the 16th International Conference Jangjeon Mathematics Society, Hapcheon Vol. 16 (2005), 26-33

 

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