Prof. GÖKHAN SOYDAN

Publication Network

Journal articles indexed in SCI, SSCI, and AHCI 37

A p- Adic approach to TSPO gene.

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

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

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

Mutlu E. K., Soydan G.

International Journal of Number Theory , vol.20, no.5, pp.1195-1218, 2024 (SCI-Expanded)

An elementary approach to the generalized Ramanujan–Nagell equation

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

Indian Journal of Pure and Applied Mathematics , vol.55, no.1, pp.392-399, 2024 (SCI-Expanded)

INTEGERS OF A QUADRATIC FIELD WITH PRESCRIBED SUM AND PRODUCT

Bremner A., Soydan G.

COLLOQUIUM MATHEMATICUM , vol.173, pp.25-39, 2023 (SCI-Expanded)

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 , vol.53, no.4, pp.915-922, 2022 (SCI-Expanded)

A modular approach to the generalized Ramanujan-Nagell equation

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

INDAGATIONES MATHEMATICAE-NEW SERIES , vol.33, no.5, pp.992-1000, 2022 (SCI-Expanded)

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

Chałupka K., Dąbrowski A., SOYDAN G.

Journal of Number Theory , vol.234, pp.153-178, 2022 (SCI-Expanded)

On elliptic curves induced by rational Diophantine quadruples

Dujella A., SOYDAN G.

Proceedings of the Japan Academy Series A: Mathematical Sciences , vol.98, no.1, 2022 (SCI-Expanded)

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

Le M., SOYDAN G.

Mathematical Communications , vol.27, no.2, pp.137-150, 2022 (SCI-Expanded)

Rational points in geometric progression on the unit circle

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

PUBLICATIONES MATHEMATICAE-DEBRECEN , vol.98, pp.513-520, 2021 (SCI-Expanded)

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 , vol.29, no.2, pp.93-105, 2021 (SCI-Expanded)

A note on Terai's conjecture concerning primitive Pythagorean triples

Le M., SOYDAN G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , vol.50, no.4, pp.911-917, 2021 (SCI-Expanded)

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 , vol.64, no.3, pp.243-254, 2021 (SCI-Expanded)

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 , vol.55, no.2, pp.195-201, 2020 (SCI-Expanded)

On a class of Lebesgue-Ljunggren-Nagell type equations

Dabrowski A., Günhan N., Soydan G.

JOURNAL OF NUMBER THEORY , vol.215, pp.149-159, 2020 (SCI-Expanded)

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 , vol.50, no.4, pp.1425-1433, 2020 (SCI-Expanded)

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 , vol.57, no.2, pp.200-205, 2020 (SCI-Expanded)

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

Le M., SOYDAN G.

PERIODICA MATHEMATICA HUNGARICA , vol.80, no.1, pp.74-80, 2020 (SCI-Expanded)

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

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

COLLOQUIUM MATHEMATICUM , vol.161, no.2, pp.239-249, 2020 (SCI-Expanded)

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

Bartoli D., Soydan G.

PUBLICATIONES MATHEMATICAE-DEBRECEN , vol.96, no.1-2, pp.111-120, 2020 (SCI-Expanded)

RATIONAL SEQUENCES ON DIFFERENT MODELS OF ELLIPTIC CURVES

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

GLASNIK MATEMATICKI , vol.54, no.1, pp.53-64, 2019 (SCI-Expanded)

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 , vol.183, pp.326-351, 2018 (SCI-Expanded)

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 , vol.42, no.5, pp.2690-2698, 2018 (SCI-Expanded)

ELLIPTIC CURVES CONTAINING SEQUENCES OF CONSECUTIVE CUBES

Celik G. S., SOYDAN G.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS , vol.48, no.7, pp.2163-2174, 2018 (SCI-Expanded)

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

SOYDAN G.

PUBLICATIONES MATHEMATICAE-DEBRECEN , vol.91, pp.369-382, 2017 (SCI-Expanded)

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

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

PERIODICA MATHEMATICA HUNGARICA , vol.70, no.2, pp.233-247, 2015 (SCI-Expanded)

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 , vol.17, no.3, pp.255-263, 2015 (SCI-Expanded)

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 , vol.140, pp.425-426, 2014 (SCI-Expanded)

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 , vol.63, pp.647-659, 2013 (SCI-Expanded)

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

Zhu H., Soydan G., Qin W.

MISKOLC MATHEMATICAL NOTES , vol.14, no.3, pp.1105-1111, 2013 (SCI-Expanded)

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

Luca F., Soydan G.

JOURNAL OF NUMBER THEORY , vol.132, no.11, pp.2604-2609, 2012 (SCI-Expanded)

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 , vol.43, no.3, pp.251-261, 2012 (SCI-Expanded)

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 , vol.26, no.1, pp.119-128, 2012 (SCI-Expanded)

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

Soydan G.

MISKOLC MATHEMATICAL NOTES , vol.13, no.2, pp.515-527, 2012 (SCI-Expanded)

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 , vol.43, pp.209-225, 2010 (SCI-Expanded)

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 , vol.10, no.2, pp.129-136, 2009 (SCI-Expanded)

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 , vol.37, pp.1483-1491, 2007 (SCI-Expanded)

Articles Published in Other Journals 21

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

Le M., Soydan G.

Boletin de la Sociedad Matematica Mexicana , vol.30, no.2, 2024 (ESCI)

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 , vol.26, no.7, 2023 (ESCI)

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

Kizildere E., SOYDAN G.

HONAM MATHEMATICAL JOURNAL , vol.42, no.1, pp.139-150, 2020 (ESCI)

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 , vol.24, no.542, pp.15-27, 2020 (ESCI)

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

Le M., SOYDAN G.

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

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 , vol.67, no.1, pp.317-322, 2018 (Peer-Reviewed Journal)

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

SOYDAN G., Nemeth L., Szalay L.

ARCHIVUM MATHEMATICUM , vol.54, no.3, pp.177-188, 2018 (ESCI)

On the Conjecture of Jesmanowicz

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

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

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

SOYDAN G., Tzanakis N.

Bulletin of the Hellenic Mathematical Society , vol.60, pp.125-151, 2016 (Peer-Reviewed Journal)

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 , vol.48, pp.39-46, 2010 (ESCI)

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 , vol.1168, pp.275-277, 2009 (Peer-Reviewed Journal)

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

Soydan G., Demirci M., Cangül İ. N.

Adv. Studies in Contemporary Maths., , vol.19, no.2, pp.183-188, 2009 (Peer-Reviewed Journal)

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 , vol.10, no.2, pp.255-262, 2008 (ESCI)

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 , vol.2, pp.77-82, 2007 (Peer-Reviewed Journal)

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 , vol.1, no.4, pp.247-250, 2007 (Peer-Reviewed Journal)

Rational Points on Frey elliptic curves on finite fields

Demirci M., Soydan G., Cangül İ. N.

Advances in Theoretical and Applied Mathematics , vol.2, pp.129-136, 2007 (Peer-Reviewed Journal)

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 , vol.1, no.4, pp.239-241, 2007 (Peer-Reviewed Journal)

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 , vol.1, no.4, pp.255-257, 2007 (Peer-Reviewed Journal)

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 , vol.14, no.2, pp.251-257, 2007 (Peer-Reviewed Journal)

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 , vol.22, no.2, pp.207-208, 2007 (ESCI)

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 , vol.22, no.2, pp.207-208, 2007 (Peer-Reviewed Journal)

Papers Presented at Peer-Reviewed Scientific Conferences 25

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, India, 25 - 29 November 2024, pp.1, (Summary Text)

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

Mutlu E. K., Soydan G.

Algebraic Number Theory - A workshop for young researchers, Munich, Germany, 2 - 06 September 2024, pp.1, (Summary Text)

TSPO genine p-sel bir yaklaşım

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

15. Ankara Matematik Günleri, Ankara, Turkey, 23 - 24 May 2024, pp.1, (Summary Text)

On some Lebesgue-Ramanujan-Nagell type equations

Mutlu E. K., Soydan G.

15. Ankara Matematik Günleri, Ankara, Turkey, 23 - 24 May 2024, pp.1, (Summary Text)

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, Romania, 18 - 22 September 2019, (Summary Text)

Rational sequences on different models of elliptic curves

SOYDAN G., Çelik G. S., Sadek M.

31 st Journees Arithmetiques, İstanbul, Turkey, 1 - 05 July 2019, (Summary Text)

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, Turkey, 6 - 08 July 2019, (Summary Text)

The generalization of two Diophantine equations of Nagell

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

31 st Journees Arithmetiques, İstanbul, Turkey, 1 - 05 July 2019, (Summary Text)

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, Turkey, 6 - 08 July 2019, (Summary Text)

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, United States Of America, 15 - 17 October 2018, (Summary Text)

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, United States Of America, 15 - 17 October 2018, (Summary Text)

Elliptic curves containing sequences of consecutive cubes,

SOYDAN G., Çelik G. S.

2 nd International Conference on Pure and Applied Mathematics, Van, Turkey, 11 - 13 September 2018, (Summary Text)

Elliptic curves containing sequences of consecutive cubes

Çelik G. S., SOYDAN G.

Modular Forms and Langlands Functoriality, Bilecik, Turkey, 11 - 12 May 2018, (Summary Text)

On the solutions of a Diophantine equation with power sums

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

30 th Journées Arithmétiques, Caen, France, 3 - 07 July 2017, (Summary Text)

Kuvvet Toplamları Tipinde Bir Diophant Denklemin Çözümleri Üzerine

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

12 nci Ankara Matematik Günleri, Ankara, Turkey, 25 - 26 May 2017, (Summary Text)

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

SOYDAN G.

Journees Arithmetique 2015, Debrecen, Hungary, 6 - 10 July 2015, vol.1, (Summary Text)

Bazı genelleştirilmiş Lebesgue Nagell denklemleri üzerine

SOYDAN G., zhu h., Le M.

7 nci Ankara Matematik Günleri, Ankara, Turkey, 31 May - 01 June 2012, vol.1, pp.37-38, (Summary Text)

On the Solutions of Some Specific Exponential Diophantine Equations

Soydan G., Cangül İ. N., Demirci M.

International Congress of Mathematicians, , Abohar, India, 19 August 2010, pp.1-11, (Full Text)

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, Iran, 07 February 2010, pp.1-6, (Full Text)

On some recent results concerning exponential Diophantine equations

Cangül İ. N., Soydan G., Demirci M.

The 22nd International Conference of Jangjeon Mathematical Society, Karnataka, India, 13 August 2009, pp.1-9, (Full Text)

On A Diophantine Equation,

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

Antalya Algebra Days XI, Antalya, Turkey, 19 May 2009, pp.38, (Summary Text)

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, Germany, 21 January 2009, pp.1-10, (Full Text)

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, Greece, 18 - 22 September 2009, vol.1168, pp.275-276, (Full Text)

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, Turkey, 21 August 2008, pp.1-5, (Full Text)

Two special elliptic curve classes

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

International Symposium on Complex Analysis, Sibiu, Romania, 25 August 2007, pp.1-10, (Full Text)

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