Prof. Dr. GÖKHAN SOYDAN

Yayın Ağı

Makaleler 59

1. On the solutions of some Lebesgue–Ramanujan–Nagell type equations II

Mutlu E. K., SOYDAN G.

International Journal of Number Theory , 2025 (SCI-Expanded, Scopus)

2. A p- Adic approach to TSPO gene.

Bilgin E. E., Pirim D., Soydan G.

Bio Systems , ss.105273, 2024 (SCI-Expanded)

3. Some exponential Diophantine equations III: a new look at the generalized Lebesgue–Nagell equation

Le M., Soydan G.

Boletin de la Sociedad Matematica Mexicana , cilt.30, sa.2, 2024 (ESCI)

4. On the solutions of some Lebesgue-Ramanujan-Nagell type equations

Mutlu E. K., Soydan G.

International Journal of Number Theory , cilt.20, sa.5, ss.1195-1218, 2024 (SCI-Expanded)

5. An elementary approach to the generalized Ramanujan–Nagell equation

Mutlu E. K., Le M., Soydan G.

Indian Journal of Pure and Applied Mathematics , cilt.55, sa.1, ss.392-399, 2024 (SCI-Expanded)

6. On the Ternary Purely Exponential Diophantine Equation (ak)x + (bk)y = ((a + b)k)z for Prime Powers a and b

Le M., SOYDAN G.

Journal of Integer Sequences , cilt.26, sa.7, 2023 (ESCI)

7. INTEGERS OF A QUADRATIC FIELD WITH PRESCRIBED SUM AND PRODUCT

Bremner A., Soydan G.

COLLOQUIUM MATHEMATICUM , cilt.173, ss.25-39, 2023 (SCI-Expanded)

8. A note on the Diophantine equation x(2)=4p(n)-4p(m) + l(2)

Abu Muriefah F. S., Le M., SOYDAN G.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS , cilt.53, sa.4, ss.915-922, 2022 (SCI-Expanded)

9. A modular approach to the generalized Ramanujan-Nagell equation

Mutlu E. K., Le M., SOYDAN G.

INDAGATIONES MATHEMATICAE-NEW SERIES , cilt.33, sa.5, ss.992-1000, 2022 (SCI-Expanded)

10. On a class of generalized Fermat equations of signature (2,2n,3)

Chałupka K., Dąbrowski A., SOYDAN G.

Journal of Number Theory , cilt.234, ss.153-178, 2022 (SCI-Expanded)

11. On the power values of the sum of three squares in arithmetic progression

Le M., SOYDAN G.

Mathematical Communications , cilt.27, sa.2, ss.137-150, 2022 (SCI-Expanded)

12. On elliptic curves induced by rational Diophantine quadruples

Dujella A., SOYDAN G.

Proceedings of the Japan Academy Series A: Mathematical Sciences , cilt.98, sa.1, 2022 (SCI-Expanded)

13. The shuffle variant of a Diophantine equation of Miyazaki and Togbe

Kizildere E., SOYDAN G., Han Q., Yuan P.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE , cilt.64, sa.3, ss.243-254, 2021 (SCI-Expanded)

14. A note on the ternary Diophantine equation x(2) - y(2m) = z(n)

Berczes A., Le M., Pink I., SOYDAN G.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA , cilt.29, sa.2, ss.93-105, 2021 (SCI-Expanded)

15. Rational points in geometric progression on the unit circle

Celik G. S., Sadek M., SOYDAN G.

PUBLICATIONES MATHEMATICAE-DEBRECEN , cilt.98, ss.513-520, 2021 (SCI-Expanded)

16. A note on Terai's conjecture concerning primitive Pythagorean triples

Le M., SOYDAN G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , cilt.50, sa.4, ss.911-917, 2021 (SCI-Expanded)

17. A NOTE ON THE EXPONENTIAL DIOPHANTINE EQUATION (A(2)n)(x) + (B(2)n)(y) = ((A(2) + B-2)n)(z)

Le M., SOYDAN G.

GLASNIK MATEMATICKI , cilt.55, sa.2, ss.195-201, 2020 (SCI-Expanded)

18. On a class of Lebesgue-Ljunggren-Nagell type equations

Dabrowski A., Günhan N., Soydan G.

JOURNAL OF NUMBER THEORY , cilt.215, ss.149-159, 2020 (SCI-Expanded)

19. RESOLUTION OF THE EQUATION (3(x1)-1)(3(x2)-1) = (5(y1)-1)(5(y2)-1)

Liptai K., Nemeth L., SOYDAN G., Szalay L.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS , cilt.50, sa.4, ss.1425-1433, 2020 (SCI-Expanded)

20. A note on the ternary purely exponential diophantine equation A(x) + B-y = C-z with A plus B = C-2

Kizildere E., le M., SOYDAN G.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA , cilt.57, sa.2, ss.200-205, 2020 (SCI-Expanded)

21. ON THE DIOPHANTINE EQUATION (5pn(2) - 1)(x)

Kizildere E., SOYDAN G.

HONAM MATHEMATICAL JOURNAL , cilt.42, sa.1, ss.139-150, 2020 (ESCI)

22. An application of Baker's method to the Jesmanowicz' conjecture on primitive Pythagorean triples

Le M., SOYDAN G.

PERIODICA MATHEMATICA HUNGARICA , cilt.80, sa.1, ss.74-80, 2020 (SCI-Expanded)

23. A brief survey on the generalized Lebesgue-Ramanujan-Nagell Equation

Le M., SOYDAN G.

Surveys in Mathematics and its Applications , cilt.15, ss.473-523, 2020 (Scopus)

24. ON TRIANGLES WITH COORDINATES OF VERTICES FROM THE TERMS OF THE SEQUENCES {U-kn} AND {V-kn}

ÖMÜR N., SOYDAN G., TÜRKER ULUTAŞ Y., Dogru Y.

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI , cilt.24, sa.542, ss.15-27, 2020 (ESCI)

25. ON THE EXPONENTIAL DIOPHANTINE EQUATION (n-1)(x) + (n+2)(y) = n(z)

Bai H., Kizildere E., SOYDAN G., Yuan P.

COLLOQUIUM MATHEMATICUM , cilt.161, sa.2, ss.239-249, 2020 (SCI-Expanded)

26. The Diophantine equation (x+1)(k) + (x+2)(k) + ... plus (lx)(k) = y(n) revisted

Bartoli D., Soydan G.

PUBLICATIONES MATHEMATICAE-DEBRECEN , cilt.96, sa.1-2, ss.111-120, 2020 (SCI-Expanded)

27. RATIONAL SEQUENCES ON DIFFERENT MODELS OF ELLIPTIC CURVES

Celik G. S., Sadek M., SOYDAN G.

GLASNIK MATEMATICKI , cilt.54, sa.1, ss.53-64, 2019 (SCI-Expanded)

28. On the Diophantine equation (&ITx&IT+1)&ITk&IT + (&ITx&IT+2)&ITk&IT + ... + (2&ITx&IT)&ITk&IT = &ITy(n)&IT

Berczes A., Pink I., Savas G., SOYDAN G.

JOURNAL OF NUMBER THEORY , cilt.183, ss.326-351, 2018 (SCI-Expanded)

29. ON THE DIOPHANTINE EQUATION Sigma(k)(j=1) jF(j)(p) = F-n(q)

SOYDAN G., Nemeth L., Szalay L.

ARCHIVUM MATHEMATICUM , cilt.54, sa.3, ss.177-188, 2018 (ESCI)

30. On the Diophantine equation ((c+1)m(2)+1)(x) + (cm(2)-1)(y) = (am)(z)

Kizildere E., Miyazaki T., SOYDAN G.

TURKISH JOURNAL OF MATHEMATICS , cilt.42, sa.5, ss.2690-2698, 2018 (SCI-Expanded)

31. ELLIPTIC CURVES CONTAINING SEQUENCES OF CONSECUTIVE CUBES

Celik G. S., SOYDAN G.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS , cilt.48, sa.7, ss.2163-2174, 2018 (SCI-Expanded)

32. A note on the diophantine equations x 2 ± 5 α . pn = y n

SOYDAN G.

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics , cilt.67, sa.1, ss.317-322, 2018 (Hakemli Dergi)

33. On the Conjecture of Jesmanowicz

Soydan G., Demirci M., Cangul İ. N., Togbe A.

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS , cilt.56, ss.46-72, 2017 (ESCI)

34. On the Diophantine equation (x+1)(k) (x+2)(k) + . . . plus (lx)(k) = y(n)

SOYDAN G.

PUBLICATIONES MATHEMATICAE-DEBRECEN , cilt.91, ss.369-382, 2017 (SCI-Expanded)

35. Complete solution of the Diophantine equation x25a.11b=yn

SOYDAN G., Tzanakis N.

Bulletin of the Hellenic Mathematical Society , cilt.60, ss.125-151, 2016 (Hakemli Dergi)

36. On the exponential Diophantine equation x(2)+2(a) p(b) = y(n)

Zhu H., Le M., SOYDAN G., Togbe A.

PERIODICA MATHEMATICA HUNGARICA , cilt.70, sa.2, ss.233-247, 2015 (SCI-Expanded)

37. ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATION x(2)+2(a) . p(b) = y(4)

Zhu H., Le M., Soydan G.

MATHEMATICAL REPORTS , cilt.17, sa.3, ss.255-263, 2015 (SCI-Expanded)

38. Note on "On the Diophantine equation nx(2)+2(2m) = y(n)" [Y. Wang, T. Wang, J. Number Theory 131 (8) (2011) 1486-1491]

SOYDAN G., CANGÜL İ. N.

JOURNAL OF NUMBER THEORY , cilt.140, ss.425-426, 2014 (SCI-Expanded)

39. On the diophantine equation x (2)+2 (a) center dot 3 (b) center dot 11 (c) = y (n)

Cangül İ. N., Demirci M., Inam I., Luca F., Soydan G.

MATHEMATICA SLOVACA , cilt.63, ss.647-659, 2013 (SCI-Expanded)

40. A NOTE ON TWO DIOPHANTINE EQUATIONS x(2) +/- 2(a) p(b) = y(4)

Zhu H., Soydan G., Qin W.

MISKOLC MATHEMATICAL NOTES , cilt.14, sa.3, ss.1105-1111, 2013 (SCI-Expanded)

41. On the Diophantine equation 2(m) + nx(2) = y(n)

Luca F., Soydan G.

JOURNAL OF NUMBER THEORY , cilt.132, sa.11, ss.2604-2609, 2012 (SCI-Expanded)

42. ON THE DIOPHANTINE EQUATION x(2)+2(a) . 19(b) = y(n)

Soydan G., Ulas M., Zhu H. L.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS , cilt.43, sa.3, ss.251-261, 2012 (SCI-Expanded)

43. ON THE RATIO OF DIRECTED LENGTHS ON THE PLANE WITH GENERALIZED ABSOLUTE VALUE METRIC AND RELATED PROPERTIES

Soydan G., Dogru Y., Arslandogan N. U.

FILOMAT , cilt.26, sa.1, ss.119-128, 2012 (SCI-Expanded)

44. ON THE DIOPHANTINE EQUATION x(2)+7(alpha) . 11(beta) = y(n)

Soydan G.

MISKOLC MATHEMATICAL NOTES , cilt.13, sa.2, ss.515-527, 2012 (SCI-Expanded)

45. ON THE DIOPHANTINE EQUATION x(2)+2(a) . 11(b) = y(n)

Cangül İ. N., Demirci M., Luca F., Pinter A., Soydan G.

FIBONACCI QUARTERLY , cilt.48, ss.39-46, 2010 (ESCI)

46. ON THE DIOPHANTINE EQUATION x(2) 5(a) . 11(b) = y(n)

Cangül İ. N., Demirci M., Soydan G., Tzanakis N.

FUNCTIONES ET APPROXIMATIO: COMMENTARII MATHEMATICI, VOL 43, PT 2 , cilt.43, ss.209-225, 2010 (SCI-Expanded)

47. A p-adic look at the Diophantine equation x2+112k = yn

Cangül İ. N., Soydan G., Şimşek Y.

Numerical Analysis and Applied Mathematics, AIP Conference Proceedings , cilt.1168, ss.275-277, 2009 (Hakemli Dergi)

48. The Diophantine Equation x^2 + 11^m = y^n,

Soydan G., Demirci M., Cangül İ. N.

Adv. Studies in Contemporary Maths., , cilt.19, sa.2, ss.183-188, 2009 (Hakemli Dergi)

49. THE GROUP STRUCTURE OF BACHET ELLIPTIC CURVES OVER FINITE FIELDS F-p

Ikikardes N. Y., DEMİRCİ M., Soydan G., CANGÜL İ. N.

MISKOLC MATHEMATICAL NOTES , cilt.10, sa.2, ss.129-136, 2009 (SCI-Expanded)

50. THE GROUP STRUCTURE OF FREY ELLIPTIC CURVES OVER FINITE FIELDS F-p

Ikikardes N. Y., DEMİRCİ M., SOYDAN G., Canguel İ. N.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS , cilt.10, sa.2, ss.255-262, 2008 (ESCI)

51. Counting the Number of Pythagorean Triples in Finite Fields

Soydan G., Demirci M., Yıldız İkikardeş N., Cangül İ. N.

Advances in Theoretical and Applied Mathematics , cilt.2, ss.77-82, 2007 (Hakemli Dergi)

52. Rational Points on Elliptic Curves y2 = x3 + a3 in Fp, where p  5 (mod 6) is Prime

Soydan G., Demirci M., Yıldız İkikardeş N., Cangül İ. N.

Int. J. of Mathematics Sciences , cilt.1, sa.4, ss.247-250, 2007 (Hakemli Dergi)

53. Rational Points on Frey elliptic curves on finite fields

Demirci M., Soydan G., Cangül İ. N.

Advances in Theoretical and Applied Mathematics , cilt.2, ss.129-136, 2007 (Hakemli Dergi)

54. The Number of Rational Points on Elliptic Curves y2 = x3 + a3 on Finite Fields

Demirci M., Yıldız İkikardeş N., Soydan G., Cangül İ. N.

Int. J. of Mathematics Sciences , cilt.1, sa.4, ss.255-257, 2007 (Hakemli Dergi)

55. Classification of the Bachet Elliptic Curves y2 = x3 + a3 in Fp, where p  1 (mod 6) is Prime

Yıldız İkikardeş N., Soydan G., Demirci M., Cangül İ. N.

Int. J. of Mathematics Sciences , cilt.1, sa.4, ss.239-241, 2007 (Hakemli Dergi)

56. On the Additive Structure of the Set of Quadratic Residues Modulo p

Soydan G., Yıldız İkikardeş N., Demirci M., Cangül İ. N.

Adv. Studies in Contemporary Maths , cilt.14, sa.2, ss.251-257, 2007 (Hakemli Dergi)

57. Rational points on elliptic curves y(2)=x(3)+a(3) in F-P where p equivalent to 1 (mod 6) is prime

Demirci M., Soydan G., Cangül İ. N.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS , cilt.37, ss.1483-1491, 2007 (SCI-Expanded)

58. CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E : y(2) = x(3)

Inam I., SOYDAN G., DEMİRCİ M., BİZİM O., CANGÜL İ. N.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY , cilt.22, sa.2, ss.207-208, 2007 (ESCI)

59. Corrigendum on The Number of Points on Elliptic Curves E y 2 x 3 cx over mathbb F p mod 8

İNAM İ., SOYDAN G., DEMİRCİ M., BİZİM O., CANGÜL İ. N.

Communications of the Korean Mathematical Society , cilt.22, sa.2, ss.207-208, 2007 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 24

1. On the solutions of some generalized Lebesgue-Ramanujan-Nagell type equations

Soydan G., Mutlu E. K.

International Conference on Diophantine equations, Polynomials and Related Areas, New Delhi, Hindistan, 25 - 29 Kasım 2024, ss.1, (Özet Bildiri)

2. TSPO genine p-sel bir yaklaşım

Bilgin E. E., Pirim D., Soydan G.

15. Ankara Matematik Günleri, Ankara, Türkiye, 23 - 24 Mayıs 2024, ss.1, (Özet Bildiri)

3. Bazı Lebesgue-Ramanujan-Nagell Tipi Denklemler Üzerine

Mutlu E. K., Soydan G.

15. Ankara Matematik Günleri, Ankara, Türkiye, 23 - 24 Mayıs 2024, ss.1, (Özet Bildiri)

4. The shuffle variant of a Diophantine equation of Miyazaki and Togbe

SOYDAN G., KIZILDERE E., Han Q., Yuan P.

The third Romanian-Turkish Mathematics Colloquium 2019, Constanta, Romanya, 18 - 22 Eylül 2019, (Özet Bildiri)

5. Rational sequences on different models of elliptic curves

SOYDAN G., Çelik G. S., Sadek M.

31 st Journees Arithmetiques, İstanbul, Türkiye, 1 - 05 Temmuz 2019, (Özet Bildiri)

6. The shuffle variant of a Diophantine equation of Miyazaki and Togbe

SOYDAN G., KIZILDERE E., Han Q., Yuan P.

Friendly workshop on Diophantine equations and related problems 2019, Bursa, Türkiye, 6 - 08 Temmuz 2019, (Özet Bildiri)

7. The generalization of two Diophantine equations of Nagell

KIZILDERE E., SOYDAN G., Bai H., Yuan P.

31 st Journees Arithmetiques, İstanbul, Türkiye, 1 - 05 Temmuz 2019, (Özet Bildiri)

8. A note on the ternary purely exponential Diophantine equation AxBy=Cz with AB=C2

SOYDAN G., KIZILDERE E., Le M.

Friendly workshop on Diophantine equations and related problems 2019, Bursa, Türkiye, 6 - 08 Temmuz 2019, (Özet Bildiri)

9. On the exponential Diophantine equation (5pm2-1)x(p(p-5)m21)y=(pm)z

SOYDAN G., KIZILDERE E.

Conference on Diophantine m-tuples and Related Problems-II, Michigan, Amerika Birleşik Devletleri, 15 - 17 Ekim 2018, (Özet Bildiri)

10. On the exponential Diophantine equation ((b1)m21)x(bm2-1)y=(cm)z,

SOYDAN G., KIZILDERE E.

Conference on Diophantine m-tuples and Related Problems-II, Michigan, Amerika Birleşik Devletleri, 15 - 17 Ekim 2018, (Özet Bildiri)

11. Elliptic curves containing sequences of consecutive cubes,

SOYDAN G., Çelik G. S.

2 nd International Conference on Pure and Applied Mathematics, Van, Türkiye, 11 - 13 Eylül 2018, (Özet Bildiri)

12. Elliptic curves containing sequences of consecutive cubes

Çelik G. S., SOYDAN G.

Modular Forms and Langlands Functoriality, Bilecik, Türkiye, 11 - 12 Mayıs 2018, (Özet Bildiri)

13. On the solutions of a Diophantine equation with power sums

berczes a., Pink I., Savaş G., SOYDAN G.

30 th Journées Arithmétiques, Caen, Fransa, 3 - 07 Temmuz 2017, (Özet Bildiri)

14. Kuvvet Toplamları Tipinde Bir Diophant Denklemin Çözümleri Üzerine

berczes a., Pink I., Savaş G., SOYDAN G.

12 nci Ankara Matematik Günleri, Ankara, Türkiye, 25 - 26 Mayıs 2017, (Özet Bildiri)

15. On the Diophantine equation (x 1)k (x 2)k...(lx)k=yn

SOYDAN G.

Journees Arithmetique 2015, Debrecen, Macaristan, 6 - 10 Temmuz 2015, cilt.1, (Özet Bildiri)

16. Bazı genelleştirilmiş Lebesgue Nagell denklemleri üzerine

SOYDAN G., zhu h., Le M.

7 nci Ankara Matematik Günleri, Ankara, Türkiye, 31 Mayıs - 01 Haziran 2012, cilt.1, ss.37-38, (Özet Bildiri)

17. On the Solutions of Some Specific Exponential Diophantine Equations

Soydan G., Cangül İ. N., Demirci M.

International Congress of Mathematicians, , Abohar, Hindistan, 19 Ağustos 2010, ss.1-11, (Tam Metin Bildiri)

18. Congruence Subgroups of Modular Group and Hecke Groups

Demirci M., Soydan G., Özgür B., Cangül İ. N.

23rd International Conference of the Jangjeon Mathematical Society, Ahvaz, İran, 07 Şubat 2010, ss.1-6, (Tam Metin Bildiri)

19. On some recent results concerning exponential Diophantine equations

Cangül İ. N., Soydan G., Demirci M.

The 22nd International Conference of Jangjeon Mathematical Society, Karnataka, Hindistan, 13 Ağustos 2009, ss.1-9, (Tam Metin Bildiri)

20. On A Diophantine Equation,

Soydan G., Cangül İ. N., Demirci M., Yıldız İkikardeş N.

Antalya Algebra Days XI, Antalya, Türkiye, 19 Mayıs 2009, ss.38, (Özet Bildiri)

21. On Exponential Diophantine Equations I

Soydan G., Cangül İ. N., Demirci M., İnam İ., Pinter A.

University Essen Institute für Experimentelle Mathematik, Forschungsseminar Wintersemester, , Essen, Almanya, 21 Ocak 2009, ss.1-10, (Tam Metin Bildiri)

22. A p-adic Look at the Diophantine Equation x(2)+11(2k) =yn

CANGÜL İ. N., Soydan G., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics, Rethimnon, Yunanistan, 18 - 22 Eylül 2009, cilt.1168, ss.275-276, (Tam Metin Bildiri)

23. The Diophantine Equation x^2 + 11^m = y^n

Soydan G., Demirci M., Cangül İ. N.

The 20th Int. Congress of Jangjeon Math. Soc., , Bursa, Türkiye, 21 Ağustos 2008, ss.1-5, (Tam Metin Bildiri)

24. Two special elliptic curve classes

Cangül İ. N., Demirci M., Soydan G., Yıldız İkikardeş N.

International Symposium on Complex Analysis, Sibiu, Romanya, 25 Ağustos 2007, ss.1-10, (Tam Metin Bildiri)

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157

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108

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