Prof. AHMET TEKCAN

MATHEMATICAL REPORTS, vol.19, no.2, pp.263-279, 2017 (Journal Indexed in SCI)

SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS

TEKCAN A. , Ozkoc A., Erasik M. E.

ARS COMBINATORIA, vol.128, pp.11-31, 2016 (Journal Indexed in SCI)

ON ALGEBRAIC IDENTITIES ON A NEW INTEGER SEQUENCE WITH FOUR PARAMETERS

TEKCAN A. , Ozkoc A., Engur M., Ozbek M. E.

ARS COMBINATORIA, vol.127, pp.225-238, 2016 (Journal Indexed in SCI)

ON POSITIVE DEFINITE QUADRATIC FORMS AND THE EXTENDED HECKE GROUP (H)over-bar(root 2)

Cildir M., Koruoglu O., TEKCAN A.

MATHEMATICAL REPORTS, vol.18, no.3, pp.355-361, 2016 (Journal Indexed in SCI)

THE INTEGER SEQUENCE B = B-n(P, Q) WITH PARAMETERS P AND Q

Kocapinar C., Ozkoc A., TEKCAN A.

ARS COMBINATORIA, vol.121, pp.187-200, 2015 (Journal Indexed in SCI)

BALANCING, PELL AND SQUARE TRIANGULAR FUNCTIONS

TEKCAN A. , Tayat M., Olajos P.

MISKOLC MATHEMATICAL NOTES, vol.16, no.2, pp.1219-1231, 2015 (Journal Indexed in SCI)

THE NUMBER OF SOLUTIONS OF PELL EQUATIONS x(2) - ky(2) = N AND x(2) + xy - ky(2) = N OVER F-p

Ozkoc A., TEKCAN A. , CANGÜL İ. N.

ARS COMBINATORIA, vol.102, pp.225-236, 2011 (Journal Indexed in SCI)

Solving some parametric quadratic Diophantine equation over Z and F-p

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.703-706, 2011 (Journal Indexed in SCI)

n-UNIVERSAL QUADRATIC FORMS, QUADRATIC IDEALS AND ELLIPTIC CURVES OVER FINITE FIELDS

Tekcan A. , Ozkoc A.

MATHEMATICAL REPORTS, vol.13, no.2, pp.205-216, 2011 (Journal Indexed in SCI)

Rational Points on Curves over Finite Fields

TEKCAN A. , ALKAN H., ÖZKOÇ A., ÇETİN E., CANGÜL İ. N.

Ant. Jour. of Mathematics, vol.7, no.4, pp.431-437, 2010 (Journal Indexed in SCI)

Quadratic Diophantine Equation x(2) - (t(2) - t)y(2) - (4t-2)x + (4t(2)-4t)y=0

Ozkoc A., TEKCAN A.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.33, no.2, pp.273-280, 2010 (Journal Indexed in SCI)

Indefinite Quadratic Forms and their Neighbours

TEKCAN A. , ÖZKOÇ A., CANGÜL İ. N.

Numerical Analysis and Applied Mathematics, AIP Conf. Proc., vol.1281, pp.1102-1105, 2010 (Journal Indexed in SCI Expanded)

The Diophantine equation x(2) - (t(2) + t)y(2) - (4t+2)x + (4t(2)+4t)y=0

TEKCAN A. , Ozkoc A.

REVISTA MATEMATICA COMPLUTENSE, vol.23, no.1, pp.251-260, 2010 (Journal Indexed in SCI)

THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.36, no.2, pp.101-114, 2007 (Journal Indexed in SCI)

Proper cycles of indefinite quadratic forms and their right neighbors

APPLICATIONS OF MATHEMATICS, vol.52, no.5, pp.407-415, 2007 (Journal Indexed in SCI)

SOME REMARKS ON INDEFINITE BINARY QUADRATIC FORMS AND QUADRATIC IDEALS

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.36, no.1, pp.27-36, 2007 (Journal Indexed in SCI)

Articles Published in Other Journals

Balcobalancing Numbers and Balcobalancers

Tekcan A. , Yıldız M.

Creative Mathematics and Informatics, vol.30, no.2, pp.203-222, 2021 (Refereed Journals of Other Institutions)

k-Almost Balancing Numbers

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, vol.60, no.3, pp.82-89, 2021 (Journal Indexed in ESCI)

t-cobalancing numbers and t-cobalancers

TEKCAN A. , Erdem A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.26, no.1, pp.45-58, 2020 (Journal Indexed in ESCI)

Sums and Spectral Norms of All Almost Balancing Numbers

Creative Mathematics and Informatics, vol.28, no.2, pp.203-214, 2019 (Refereed Journals of Other Institutions)

Almost balancing, triangular and square triangular numbers

ÖZKOÇ ÖZTÜRK A., TEKCAN A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.25, no.1, pp.108-121, 2019 (Journal Indexed in ESCI)

Some Algebraic Relations on an Integer Sequence with Fixed Parameter

Acta Universitatis Apulensis, vol.58, pp.53-66, 2019 (Refereed Journals of Other Institutions)

Base points, bases and positive definite forms

TEKCAN A. , Kutlu S.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.11, no.2, 2018 (Journal Indexed in ESCI)

Finding the Fundamental Solutions of the Pell Equation x{2}-dy{2}= \pm1 by determining the Right Neighbor of F=(d,0,-1)

TEKCAN A. , KARADENİZ GÖZERİ G.

Libertas Mathematica, vol.38, no.1, pp.1-13, 2018 (Refereed Journals of Other Institutions)

Quadratic Ideals, Indefinite Quadratic Forms and Some Specific Diophantine Equations

TEKCAN A. , Kutlu S.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.36, no.3, pp.173-192, 2018 (Journal Indexed in ESCI)

t-Balancing Numbers, Pell Numbers and Square Triangular Numbers. 33(2017), 133-146

TEKCAN A. , Yazla A.

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, vol.33, pp.133-146, 2017 (Refereed Journals of Other Institutions)

The Integer Sequence a_{n} and its Relationship with Pell, Pell-Lucas and Balancing Numbers

Akın A., TEKCAN A.

Annales Univ. Sci. Budapest., Sect. Comp, vol.46, pp.275-288, 2017 (Refereed Journals of Other Institutions)

The Pell Equation x {2}-(k {2}-2)y {2}=1 and the Corresponding Integer Sequence

Akın A., TEKCAN A.

Annales Univ. Sci. Budapest., Sect. Comp., vol.46, pp.303-325, 2017 (Refereed Journals of Other Institutions)

On k-balancing numbers

Ozkoc A., TEKCAN A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.23, no.3, pp.38-52, 2017 (Journal Indexed in ESCI)

Letter to the Editor: Disproof the Conjecture Related to the Pell Equation x{2}-D y{2}=2 by Özen Özer

TEKCAN A. , ÖZKOÇ A., MELTEM ESRA Ö.

Adv. in Theor. and App. Maths., vol.9, no.1, pp.49-59, 2014 (Refereed Journals of Other Institutions)

Generalized Pell Numbers Balancing Numbers and Binary Quadratic Forms

TEKCAN A. , MERVE T.

Creative Mathematics and Informatics, vol.23, no.1, pp.115-122, 2014 (Refereed Journals of Other Institutions)

The Diophantine Equation 8x^{2}-y^{2}+8x(1+t)+(2t+1)^{2} and t-Balancing Numbers

TEKCAN A. , MERVE T., MELTEM ESRA Ö.

ISR Combinatorics, vol.897834, pp.1-5, 2014 (Refereed Journals of Other Institutions)

Sequences of Right and Left Neighbors of Six Type Indefinite Binary Quadratic Forms and their Proper Automorphisms

Jour. of Maths. Sci.: Adv. App, vol.20, pp.1-19, 2013 (Refereed Journals of Other Institutions)

Pell Form and Pell Equation via Oblong Numbers

Serdica Math. Jour., vol.39, pp.37-52, 2013 (Refereed Journals of Other Institutions)

Positive Definite Binary Quadratic Forms and Modules over a Field

Southeast Asian Bulletin of Mathematics, vol.36, pp.419-426, 2012 (Refereed Journals of Other Institutions)

On Kaprekar Numbers

Advances in Theoretical and App. Maths., vol.7, no.1, pp.43-50, 2012 (Refereed Journals of Other Institutions)

Some Algebraic Identities on the Integer Sequence Associated with Imaginary Quadratic Number Field \mathbb{Q}(\sqrt{-163})

Selçuk Journal of Applied Mathematics, vol.12, no.1, pp.149-160, 2011 (Refereed Journals of Other Institutions)

Representations of Positive Integers by Positive Quadratic Forms

TEKCAN A. , ÖZKOÇ A., GEZER B., BİZİM O.

Southeast Asian Bulletin of Mathematics, vol.35, no.1, pp.137-148, 2011 (Journal Indexed in ESCI)

Principal Indefinite Quadratic Forms and Singular Curves over Finite Fields

Southeast Asian Bulletin of Mathematics, vol.35, no.5, pp.859-867, 2011 (Refereed Journals of Other Institutions)

Continued Fraction Expansion of \sqrt{D} and Pell Equation x^{2}-Dy^{2}=1

Mathematica Moravica, vol.15, no.2, pp.19-27, 2011 (Refereed Journals of Other Institutions)

Neighbors of Indefinite Binary Quadratic Forms

I.J.of Comp.and M.Sci, vol.5, no.1, pp.16-22, 2011 (Refereed Journals of Other Institutions)

Quadratic Forms Elliptic Curves and Integer Sequence

TEKCAN A. , ÖZKOÇ A., ÇETİN E., ALKAN H., CANGÜL İ. N.

Acta Universitatis Apulensis, vol.25, pp.9-30, 2011 (Refereed Journals of Other Institutions)

n Universal Quadratic Forms and Quadratic Forms over Finite Fields

Bulletin of Irish Math. Society, vol.65, pp.11-21, 2010 (Refereed Journals of Other Institutions)

Elliptic Divisibility Sequences over Finite Fields

GEZER B. , TEKCAN A. , BİZİM O.

Int. Journal of Comp. and Math.Sci., vol.4, no.1, pp.12-19, 2010 (Refereed Journals of Other Institutions)

The Diophantine Equation x^{2}-Py^{2}=Q

TEKCAN A. , ÖZKOÇ A., CANAN K., ALKAN H.

Int. Jour. of Comp. and Math.Sci., vol.4, no.2, pp.59-62, 2010 (Refereed Journals of Other Institutions)

The Cubic Congruence x^{3}+ax^{2}+bx+c \equiv 0 (\mod p) and Binary Quadratic Forms F(x,y)=ax^{2}+bxy+cy^{2} II

Acta Universitatis Apulensis, vol.22, pp.53-63, 2010 (Refereed Journals of Other Institutions)

On Cycles and Products of Ideals and Corresponding Indefinite Quadratic Forms

TEKCAN A. , ÖZKOÇ A., ALKAN H.

Comptes rendus mathématiques-Math. Reports, vol.32, no.2, pp.40-51, 2010 (Refereed Journals of Other Institutions)

Positive Definite Quadratic Forms Elliptic Curves and Cubic Congruences

Inter. Jour. of Comp. and Math.Sci, vol.4, no.2, pp.100-104, 2010 (Refereed Journals of Other Institutions)

On the Cycles of Indefinite Quadratic Forms and Cycles of Ideals II

Southeast Asian Bulletin of Mathematics, vol.34, pp.185-192, 2010 (Refereed Journals of Other Institutions)

The Family of Indefinite Binary Quadratic Forms and Elliptic Curves over Finite Fields

ÖZKOÇ A., TEKCAN A.

General Mathematics, vol.18, no.4, pp.3-17, 2010 (Refereed Journals of Other Institutions)

The Elliptic Curves y^{2}=x^{3}-1728x over Finite Fields

Journal of Algebra, Number Theory: Advances and Applications, vol.1, no.1, pp.61-74, 2009 (Refereed Journals of Other Institutions)

The Number of Rational Points on Singular Curves y{2}=x(x-a){2} over Finite Fields \mathbb{F}_{p}.

Int. Journal of Comp.and Math.Sci., vol.3, no.1, pp.14-17, 2009 (Refereed Journals of Other Institutions)

Positive Definite Binary Quadratic Forms Quadratic Congruences and Singular Curves

Comptes rendus mathématiques-Mathematical Reports, vol.31, no.2, pp.53-64, 2009 (Refereed Journals of Other Institutions)

Quadratic Irrationals Quadratic Ideals and Indefinite Quadratic Forms II

Int. Jour. of Comp.and Math. Sci., vol.3, no.2, pp.56-59, 2009 (Refereed Journals of Other Institutions)

Representation of Integers by Quadratic Forms in Several Variables

Creative Maths. and Infor., vol.18, no.1, pp.65-75, 2009 (Refereed Journals of Other Institutions)

The Diophantine Equation y^{2}-2yx-3=0 and Corresponding Curves over \mathbb{F}_{p}

TEKCAN A. , ÖZKOÇ A., ALKAN H.

Int. Journal of Comp.and Math.Sci, vol.3, no.6, pp.260-263, 2009 (Refereed Journals of Other Institutions)

A.Tekcan. The Pell Equation x{2}-(k{2}-k)y{2}=2{t}.

Int. Jour. of Comp. and Math. Sci, vol.2, no.1, pp.5-9, 2008 (Refereed Journals of Other Institutions)

Some Relations Involving the Sums of Fibonacci Numbers

TEKCAN A. , ÖZKOÇ A., GEZER B. , BİZİM O.

Proceedings of the Jangjeon Math. Soc., vol.11, no.1, pp.1-12, 2008 (Refereed Journals of Other Institutions)

The Number of Rational Points on Elliptic Curves and Circles over Finite Fields

GEZER B., TEKCAN A. , BİZİM O.

Int. Journal of Comp.and Math.Sci, vol.2, no.2, pp.58-63, 2008 (Refereed Journals of Other Institutions)

Elliptic Curves Conics and Cubic Congruences Associated with Indefinite Binary Quadratic Forms

TEKCAN A. , ÖZKOÇ A., GEZER B. , BİZİM O.

Novi Sad J. Math., vol.38, no.2, pp.71-81, 2008 (Refereed Journals of Other Institutions)

The Pell Equation x^{2}+xy-ky^{2}=\pm1

Global Journal of Pure and Applied Maths., vol.4, no.2, pp.105-112, 2008 (Refereed Journals of Other Institutions)

On Indefinite Binary Quadratic Forms and Quadratic Ideals

Novi Sad Journal of Maths., vol.38, no.1, pp.83-96, 2008 (Refereed Journals of Other Institutions)

On the Cycles of Indefinite Quadratic Forms and Cycles of Ideals III

Comptes rendus mathématiques-Mathematical Reports, vol.30, no.1, pp.22-32, 2008 (Refereed Journals of Other Institutions)

The Number of Rational Points on Elliptic Curves y^{2}= x^{3}+b^{2} over Finite Fields

GEZER B. , ÖZDEN H. , TEKCAN A. , BİZİM O.

Int. Jour. of Comp. and Math. Sci., vol.1, no.3, pp.178-184, 2007 (Refereed Journals of Other Institutions)

The Elliptic Curves y^{2}=x^{3}-t^{2}x over \mathbb{F}_{p}

Int. J.of Comp.and Math.Sci, vol.1, no.3, pp.165-171, 2007 (Refereed Journals of Other Institutions)

On the Pell Equation x^{2}-(k^{2}-2)y^{2}=2^{t}

Crux Mat. with Math.May., vol.33, no.6, pp.361-365, 2007 (Refereed Journals of Other Institutions)

The Number of Rational Points on Conics C_{p,k}:x^{2}-ky^{2}=1 over Finite Fields \mathbb{F}_{p}

International Journal of Computational and Mathematical Sciences, vol.1, no.2, pp.150-153, 2007 (Refereed Journals of Other Institutions)

The Pell Equation x^{2}-Dy^{2}=\pm 4

Applied Math. Science, vol.1, no.8, pp.363-369, 2007 (Refereed Journals of Other Institutions)

On Indefinite Binary Quadratic Forms Cubic Congruence and Elliptic Curves

Inter. Jour. of Cont. Math. Science, vol.2, no.21, pp.1031-1037, 2007 (Refereed Journals of Other Institutions)

Some Relations on Lucas Numbers and their Sums

TEKCAN A. , GEZER B. , BİZİM O.

Advanced Studies in Contemporary Mathematics, vol.15, no.2, pp.195-211, 2007 (Refereed Journals of Other Institutions)

Representations of Positive Integers by Positive Quadratic Forms and the Fourier Coefficients of Cusp Forms

Southeast Asian Bull. of Maths, vol.31, pp.349-362, 2007 (Refereed Journals of Other Institutions)

Some Algebraic Properties of Universal and Regular Covering Spaces

International Journal of Comp. and Mathematics Sciences, vol.1, no.4, pp.251-254, 2007 (Refereed Journals of Other Institutions)

A Second Approach to the Proper Cycles of Indefinite Quadratic Forms and their Right Neighbors

International Journal of Contemporary Math. Sci, vol.2, no.6, pp.249-260, 2007 (Refereed Journals of Other Institutions)

On the Integer Solutions of the Pell Equation x^{2}-dy^{2}=2^{t}

Tekcan A. , Gezer B. , Bizim O.

Int. Jour. of Comp. and Math, vol.1, no.3, pp.204-208, 2007 (Refereed Journals of Other Institutions)

Solving the Pell Equation using the Fundamental Element of the Field \mathbb{Q}(\sqrt{\Delta })

Tekcan A. , Bizim O. , Bayraktar M.

Southeast Asian Bull. of Maths., vol.30, pp.355-366, 2006 (Refereed Journals of Other Institutions)

Signatures of the Special Congruence Subgroup of the Extended Modular Group

TEKCAN A. , BİZİM O. , CANGÜL İ. N.

Southeast Asian Bull. of Maths., vol.30, pp.1147-1156, 2006 (Refereed Journals of Other Institutions)

The Number of Representations of Positive Integers by Positive Quadratic Forms

Proceedings of the Jangjeon Math. Soc., vol.9, no.2, pp.125-136, 2006 (Refereed Journals of Other Institutions)

Cycles of Indefinite Quadratic Forms and Cycles of Ideals

Hacettepe Journal of Maths. and Sta., vol.35, no.1, pp.63-70, 2006 (Refereed Journals of Other Institutions)

On the Quadratic Irrationals Quadratic Ideals and Indefinite Quadratic Forms

TEKCAN A. , ÖZDEN H.

Bulletin of the Irish Mathematical Society, vol.58, pp.69-79, 2006 (Refereed Journals of Other Institutions)

Formulas for the Fourier Coefficients of Cusp Form for Some Quadratic Forms

Turkish Journal of Mathematics, vol.29, pp.141-156, 2005 (Refereed Journals of Other Institutions)

Representation of Integers by Hermitian Forms

Acta Mathematica Universitatis Comenianae, vol.74, no.2, pp.205-209, 2005 (Refereed Journals of Other Institutions)

Representations of Positive Integers by a Direct Sum of Quadratic Forms

Results in Mathematics, vol.46, pp.146-163, 2004 (Refereed Journals of Other Institutions)

On the Number of Representations of Positive Integers by Quadratic Forms as the Basis of the Space S_{4}(\Gamma_{0}(47),1)

Int. Jour. of Math. and Math. Sci, vol.2014, no.12, pp.637-646, 2004 (Refereed Journals of Other Institutions)

On the Representation of Positive Integers by Quadratic Forms with Seven Variables

Southeast Asian Bull. of Maths., vol.28, no.5, pp.875-886, 2004 (Refereed Journals of Other Institutions)

Pell Equation x^{2}-Dy^{2}=2, II

Bulletin of Irish Math. Society, vol.54, pp.73-89, 2004 (Refereed Journals of Other Institutions)

The Connection between Quadratic Forms and the Extended Modular Group