Prof. Dr. AHMET TEKCAN

Acta Matematica Academie Paedagogiace Nyíregyháziensis , cilt.35, sa.1, ss.24-50, 2024 (Scopus)

3. Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers

Tekcan A., Türkmen E. Z.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.29, sa.4, ss.682-694, 2023 (ESCI)

4. General terms of all almost balancing numbers of first and second type

TEKCAN A., Erdem A.

Communications in Mathematics , cilt.31, sa.1, ss.155-167, 2023 (Scopus)

5. Almost Balcobalancing Numbers

Annales Univ. Sci. Budapest., Sect. Comp. , cilt.53, ss.71-83, 2022 (Hakemli Dergi)

6. Balcobalancing Numbers and Balcobalancers II

Creative Mathematics and Informatics , cilt.31, sa.2, ss.247-258, 2022 (Hakemli Dergi)

7. The Set of Automorphisms of Pell Forms and Pell Equations

TEKCAN A., Biberoglu G.

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS , sa.6, ss.783-800, 2022 (ESCI)

8. On t-Balancers, t-Balancing Numbers and Lucas t-Balancing Numbers

Tekcan A., Aydın S.

Libertas Mathematica , cilt.41, sa.1, ss.37-51, 2021 (Hakemli Dergi)

9. k-Almost Balancing Numbers

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS , cilt.60, sa.3, ss.82-89, 2021 (ESCI)

10. Balcobalancing Numbers and Balcobalancers

Creative Mathematics and Informatics , cilt.30, sa.2, ss.203-222, 2021 (Hakemli Dergi)

11. k-Almost Cobalancing Numbers

ÖZKOÇ ÖZTÜRK A., TEKCAN A.

International Journal of Applied Mathematics and Statictics , cilt.59, sa.4, ss.88-94, 2020 (ESCI)

12. t-cobalancing numbers and t-cobalancers

TEKCAN A., Erdem A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.26, sa.1, ss.45-58, 2020 (ESCI)

13. Some Algebraic Relations on an Integer Sequence with Fixed Parameter

Acta Universitatis Apulensis , cilt.58, ss.53-66, 2019 (Hakemli Dergi)

14. Almost balancing, triangular and square triangular numbers

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.25, sa.1, ss.108-121, 2019 (ESCI)

15. Sums and Spectral Norms of All Almost Balancing Numbers

TEKCAN A., KARADENİZ GÖZERİ G.

Creative Mathematics and Informatics , cilt.28, sa.2, ss.203-214, 2019 (Hakemli Dergi)

16. Base points, bases and positive definite forms

TEKCAN A., Kutlu S.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.11, sa.2, 2018 (ESCI, Scopus)

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

Libertas Mathematica , cilt.38, sa.1, ss.1-13, 2018 (Hakemli Dergi)

18. Quadratic Ideals, Indefinite Quadratic Forms and Some Specific Diophantine Equations

TEKCAN A., Kutlu S.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA , cilt.36, sa.3, ss.173-192, 2018 (ESCI, Scopus)

19. SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS

Gozeri G. K., Ozkoc A., TEKCAN A.

UTILITAS MATHEMATICA , cilt.103, ss.217-236, 2017 (SCI-Expanded, Scopus)

20. TRIANGULAR AND SQUARE TRIANGULAR NUMBERS INVOLVING GENERALIZED PELL NUMBERS

Ozkoc A., TEKCAN A., Gozeri G. K.

UTILITAS MATHEMATICA , cilt.102, ss.231-254, 2017 (SCI-Expanded, Scopus)

21. 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 , cilt.46, ss.275-288, 2017 (Hakemli Dergi)

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

TEKCAN A., Yazla A.

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis , cilt.33, ss.133-146, 2017 (Scopus)

23. 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. , cilt.46, ss.303-325, 2017 (Hakemli Dergi)

24. On k-balancing numbers

Ozkoc A., TEKCAN A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.23, sa.3, ss.38-52, 2017 (ESCI, Scopus)

25. INDEFINITE QUADRATIC FORMS AND PELL EQUATIONS INVOLVING QUADRATIC IDEALS

MATHEMATICAL REPORTS , cilt.19, sa.2, ss.263-279, 2017 (SCI-Expanded, Scopus)

26. ON ALGEBRAIC IDENTITIES ON A NEW INTEGER SEQUENCE WITH FOUR PARAMETERS

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

ARS COMBINATORIA , cilt.127, ss.225-238, 2016 (SCI-Expanded, Scopus)

27. SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS

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

ARS COMBINATORIA , cilt.128, ss.11-31, 2016 (SCI-Expanded, Scopus)

28. On positive definite quadratic forms and the extended Hecke group H̄(√2)

Cildir M., Koruoglu O., TEKCAN A.

Mathematical Reports , cilt.18, sa.3, ss.355-361, 2016 (SCI-Expanded, Scopus)

29. The integer sequence B = Bn(P,Q) with parameters P and Q

Kocapinar C., Ozkoq A., TEKCAN A.

Ars Combinatoria , cilt.121, ss.187-200, 2015 (SCI-Expanded, Scopus)

30. BALANCING, PELL AND SQUARE TRIANGULAR FUNCTIONS

TEKCAN A., Tayat M., Olajos P.

MISKOLC MATHEMATICAL NOTES , cilt.16, sa.2, ss.1219-1231, 2015 (SCI-Expanded, Scopus)

31. 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 , cilt.897834, ss.1-5, 2014 (Hakemli Dergi)

32. Generalized Pell Numbers Balancing Numbers and Binary Quadratic Forms

TEKCAN A., MERVE T.

Creative Mathematics and Informatics , cilt.23, sa.1, ss.115-122, 2014 (Hakemli Dergi)

33. 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. , cilt.9, sa.1, ss.49-59, 2014 (Hakemli Dergi)

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

Jour. of Maths. Sci.: Adv. App , cilt.20, ss.1-19, 2013 (Hakemli Dergi)

35. Pell Form and Pell Equation via Oblong Numbers

Serdica Math. Jour. , cilt.39, ss.37-52, 2013 (Hakemli Dergi)

36. Positive Definite Binary Quadratic Forms and Modules over a Field

Southeast Asian Bulletin of Mathematics , cilt.36, ss.419-426, 2012 (ESCI)

37. On Kaprekar Numbers

Advances in Theoretical and App. Maths. , cilt.7, sa.1, ss.43-50, 2012 (Hakemli Dergi)

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

Ozkoc A., TEKCAN A., CANGÜL İ. N.

APPLIED MATHEMATICS AND COMPUTATION , cilt.218, sa.3, ss.703-706, 2011 (SCI-Expanded, Scopus)

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

ARS COMBINATORIA , cilt.102, ss.225-236, 2011 (SCI-Expanded, Scopus)

40. Integer Solutions of a Special Diophantine Equation

Tekcan A., Öztürk A. Ö.

Numerical Analysis and Applied Mathematics, AIP Conf. Proc. , cilt.1389, ss.371-374, 2011 (Hakemli Dergi)

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

Mathematica Moravica , cilt.15, sa.2, ss.19-27, 2011 (Hakemli Dergi)

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

Tekcan A., Ozkoc A.

MATHEMATICAL REPORTS , cilt.13, sa.2, ss.205-216, 2011 (SCI-Expanded)

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

Selçuk Journal of Applied Mathematics , cilt.12, sa.1, ss.149-160, 2011 (Hakemli Dergi)

44. Neighbors of Indefinite Binary Quadratic Forms

I.J.of Comp.and M.Sci , cilt.5, sa.1, ss.16-22, 2011 (Hakemli Dergi)

45. Representations of Positive Integers by Positive Quadratic Forms

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

Southeast Asian Bulletin of Mathematics , cilt.35, sa.1, ss.137-148, 2011 (ESCI)

46. The elliptic curves y2 = x(x - 1)(x - λ)

Ars Combinatoria , cilt.99, ss.519-529, 2011 (SCI-Expanded, Scopus)

47. Quadratic Forms Elliptic Curves and Integer Sequence

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

Acta Universitatis Apulensis , cilt.25, ss.9-30, 2011 (Hakemli Dergi)

48. Principal Indefinite Quadratic Forms and Singular Curves over Finite Fields

Southeast Asian Bulletin of Mathematics , cilt.35, sa.5, ss.859-867, 2011 (ESCI)

49. Primes in Z[exp(2i/3)],

Namlı D., Cangül İ. N., Çevik A. S., Güngör A. D., Tekcan A.

Numerical Analysis and Applied Mathematics , cilt.1281, ss.1129-1132, 2010 (Hakemli Dergi)

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

ÖZKOÇ A., TEKCAN A.

General Mathematics , cilt.18, sa.4, ss.3-17, 2010 (Hakemli Dergi)

51. n Universal Quadratic Forms and Quadratic Forms over Finite Fields

Bulletin of Irish Math. Society , cilt.65, ss.11-21, 2010 (Hakemli Dergi)

52. 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 , cilt.22, ss.53-63, 2010 (Hakemli Dergi)

53. Rational Points on Curves over Finite Fields

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

Ant. Jour. of Mathematics , cilt.7, sa.4, ss.431-437, 2010 (SCI-Expanded)

54. 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 , cilt.23, sa.1, ss.251-260, 2010 (SCI-Expanded, Scopus)

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

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

Int. Jour. of Comp. and Math.Sci. , cilt.4, sa.2, ss.59-62, 2010 (Hakemli Dergi)

56. Elliptic Divisibility Sequences over Finite Fields

GEZER B., TEKCAN A., BİZİM O.

Int. Journal of Comp. and Math.Sci. , cilt.4, sa.1, ss.12-19, 2010 (Hakemli Dergi)

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

Southeast Asian Bulletin of Mathematics , cilt.34, ss.185-192, 2010 (ESCI)

58. Positive Definite Quadratic Forms Elliptic Curves and Cubic Congruences

TEKCAN A., ÖZKOÇ A., CANGÜL İ. N.

Inter. Jour. of Comp. and Math.Sci , cilt.4, sa.2, ss.100-104, 2010 (Hakemli Dergi)

59. On Cycles and Products of Ideals and Corresponding Indefinite Quadratic Forms

TEKCAN A., ÖZKOÇ A., ALKAN H.

Comptes rendus mathématiques-Math. Reports , cilt.32, sa.2, ss.40-51, 2010 (Hakemli Dergi)

60. 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 , cilt.33, sa.2, ss.273-280, 2010 (SCI-Expanded, Scopus)

61. Indefinite Quadratic Forms and their Neighbours

Numerical Analysis and Applied Mathematics, AIP Conf. Proc. , cilt.1281, ss.1102-1105, 2010 (SCI-Expanded)

62. 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 , cilt.3, sa.6, ss.260-263, 2009 (Hakemli Dergi)

63. Positive Definite Binary Quadratic Forms Quadratic Congruences and Singular Curves

Comptes rendus mathématiques-Mathematical Reports , cilt.31, sa.2, ss.53-64, 2009 (Hakemli Dergi)

64. Representation of Integers by Quadratic Forms in Several Variables

Creative Maths. and Infor. , cilt.18, sa.1, ss.65-75, 2009 (Hakemli Dergi)

65. Quadratic Irrationals Quadratic Ideals and Indefinite Quadratic Forms II

Int. Jour. of Comp.and Math. Sci. , cilt.3, sa.2, ss.56-59, 2009 (Hakemli Dergi)

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

Journal of Algebra, Number Theory: Advances and Applications , cilt.1, sa.1, ss.61-74, 2009 (Hakemli Dergi)

67. 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. , cilt.3, sa.1, ss.14-17, 2009 (Hakemli Dergi)

68. 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 , cilt.2, sa.2, ss.58-63, 2008 (Hakemli Dergi)

69. Some Relations Involving the Sums of Fibonacci Numbers

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

Proceedings of the Jangjeon Math. Soc. , cilt.11, sa.1, ss.1-12, 2008 (Hakemli Dergi)

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

Int. Jour. of Comp. and Math. Sci , cilt.2, sa.1, ss.5-9, 2008 (Hakemli Dergi)

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

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

Novi Sad J. Math. , cilt.38, sa.2, ss.71-81, 2008 (Hakemli Dergi)

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

Tekcan A., Bizim O.

Global Journal of Pure and Applied Maths. , cilt.4, sa.2, ss.105-112, 2008 (Hakemli Dergi)

73. On Indefinite Binary Quadratic Forms and Quadratic Ideals

Novi Sad Journal of Maths. , cilt.38, sa.1, ss.83-96, 2008 (Hakemli Dergi)

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

Comptes rendus mathématiques-Mathematical Reports , cilt.30, sa.1, ss.22-32, 2008 (Hakemli Dergi)

75. The cubic congruence x3 + ax2 + bx + c ≡ = 0(mod p) and binary quadratic forms F(x, y) = ax2 + bxy + cy 2

Ars Combinatoria , cilt.85, ss.257-269, 2007 (SCI-Expanded, Scopus)

76. SOME REMARKS ON INDEFINITE BINARY QUADRATIC FORMS AND QUADRATIC IDEALS

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , cilt.36, sa.1, ss.27-36, 2007 (SCI-Expanded, TRDizin)

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

Int. J.of Comp.and Math.Sci , cilt.1, sa.3, ss.165-171, 2007 (Hakemli Dergi)

78. On Indefinite Binary Quadratic Forms Cubic Congruence and Elliptic Curves

Inter. Jour. of Cont. Math. Science , cilt.2, sa.21, ss.1031-1037, 2007 (Hakemli Dergi)

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

Crux Mat. with Math.May. , cilt.33, sa.6, ss.361-365, 2007 (Hakemli Dergi)

80. Proper cycles of indefinite quadratic forms and their right neighbors

APPLICATIONS OF MATHEMATICS , cilt.52, sa.5, ss.407-415, 2007 (SCI-Expanded, Scopus)

81. 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 , cilt.1, sa.2, ss.150-153, 2007 (Hakemli Dergi)

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

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , cilt.36, sa.2, ss.101-114, 2007 (SCI-Expanded, TRDizin)

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

Applied Math. Science , cilt.1, sa.8, ss.363-369, 2007 (Hakemli Dergi)

84. Some Relations on Lucas Numbers and their Sums

TEKCAN A., GEZER B., BİZİM O.

Advanced Studies in Contemporary Mathematics , cilt.15, sa.2, ss.195-211, 2007 (Hakemli Dergi)

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

Southeast Asian Bull. of Maths , cilt.31, ss.349-362, 2007 (Hakemli Dergi)

86. Some Algebraic Properties of Universal and Regular Covering Spaces

International Journal of Comp. and Mathematics Sciences , cilt.1, sa.4, ss.251-254, 2007 (Hakemli Dergi)

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

International Journal of Contemporary Math. Sci , cilt.2, sa.6, ss.249-260, 2007 (Hakemli Dergi)

88. 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 , cilt.1, sa.3, ss.204-208, 2007 (Hakemli Dergi)

89. 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. , cilt.1, sa.3, ss.178-184, 2007 (Hakemli Dergi)

90. Signatures of the Special Congruence Subgroup of the Extended Modular Group

Southeast Asian Bull. of Maths. , cilt.30, ss.1147-1156, 2006 (Hakemli Dergi)

91. Cycles of Indefinite Quadratic Forms and Cycles of Ideals

TEKCAN A., BİZİM O., CANGÜL İ. N.

Hacettepe Journal of Maths. and Sta. , cilt.35, sa.1, ss.63-70, 2006 (Hakemli Dergi)

92. On the Quadratic Irrationals Quadratic Ideals and Indefinite Quadratic Forms

TEKCAN A., ÖZDEN H.

Bulletin of the Irish Mathematical Society , cilt.58, ss.69-79, 2006 (Hakemli Dergi)

93. The Number of Representations of Positive Integers by Positive Quadratic Forms

Proceedings of the Jangjeon Math. Soc. , cilt.9, sa.2, ss.125-136, 2006 (Hakemli Dergi)

94. 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. , cilt.30, ss.355-366, 2006 (Hakemli Dergi)

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

Turkish Journal of Mathematics , cilt.29, ss.141-156, 2005 (TRDizin)

96. Representation of Integers by Hermitian Forms

Acta Mathematica Universitatis Comenianae , cilt.74, sa.2, ss.205-209, 2005 (Scopus)

97. On the number of representations of positive integers by quadratic forms as the basis of the space S4 ( Γ0 (47), 1)

TEKCAN A., BİZİM O.

International Journal of Mathematics and Mathematical Sciences , cilt.2004, sa.12, ss.637-646, 2004 (Scopus)

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

Tekcan A., Bizim O.

Southeast Asian Bull. of Maths. , cilt.28, sa.5, ss.875-886, 2004 (Hakemli Dergi)

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

Bulletin of Irish Math. Society , cilt.54, ss.73-89, 2004 (Hakemli Dergi)

100. Representations of Positive Integers by a Direct Sum of Quadratic Forms