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Dive into the research topics where Arzu Özkoç is active.

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Featured researches published by Arzu Özkoç.


ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 | 2010

Indefinite Quadratic Forms and their Neighbours

Ahmet Tekcan; Arzu Özkoç; Ismail Naci Cangul

The aim of this work is to derive the connection among cycle, proper cycle, right and left neighbour of indefinite reduced binary quadratic form F(x,y) = ax2 +bxy+cy2 of discriminant Δ = b2−4ac.


NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics | 2011

Integer Solutions of a Special Diophantine Equation

Arzu Özkoç; Ahmet Tekcan

Let t≠1 be an integer. In this work, we determine the integer solutions of Diophantine equation D:x2+(2−t2)y2+(−2t2−2t+2)x+(2t5−6t3+4t)y−t8+4t6−4t4+2t3+t2−2t = 0 over Z and also over finite fields Fp for primes p≥2. Also we derive some recurrence relations on the integer solutions (xn,yn) of D and formulate the the n—th solution (xn,yn) by using the simple continued fraction expansion of xnyn.


Applied Mathematics and Computation | 2011

Solving some parametric quadratic Diophantine equation over Z and Fp

Arzu Özkoç; Ahmet Tekcan; Ismail Naci Cangul


Ars Combinatoria | 2016

Some Algebraic Relations On Integer Sequences Involving Oblong And Balancing Numbers.

Ahmet Tekcan; Arzu Özkoç; Meltem E. Erasik


Ars Combinatoria | 2016

On Algebraic Identities On A New Integer Sequence With Four Parameters.

Ahmet Tekcan; Arzu Özkoç; Merve Engur; Meltem E. Özbek


Ars Combinatoria | 2015

The Integer Sequence B = B n (P, Q) With Parameters P And Q.

Canan Kocapınar; Arzu Özkoç; Ahmet Tekcan


Archive | 2013

SEQUENCES OF RIGHT AND LEFT NEIGHBOURS OF SIX TYPE INDEFINITE BINARY QUADRATIC FORMS AND THEIR PROPER AUTOMORPHISMS

Ahmet Tekcan; Arzu Özkoç; Meltem E. Özbek


World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering | 2010

The Pell Equation x2 − Py2 = Q

Ahmet Tekcan; Arzu Özkoç; Canan Kocapınar; Hatice Alkan


Revista Matematica Complutense | 2010

The Diophantine equation x2−(t2+t)y2−(4t+2)x+(4t2+4t)y=0

Ahmet Tekcan; Arzu Özkoç


World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering | 2009

The Diophantine Equation y2 − 2yx − 3 = 0 and Corresponding Curves over Fp

Ahmet Tekcan; Arzu Özkoç; Hatice Alkan

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