Browsing by Author "Tekcan, Ahmet"
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The integer sequence B = Bn(P,Q) with parameters P and Q
Kocapınar, Canan; Özkoç, Arzu; Tekcan, Ahmet (Charles Babbage Res Ctr, 2015)In this work, we first prove that every prime number p equivalent to 1 (mod 4) can be written of the form P24Q with two positive integers P and Q, and then we define the sequence Bn(P, Q) to be B0 = 2, B1 = P and Bn ... 
On positive definite quadratic forms and the extended hecke group (H)overbar(root 2)
Çıldır, Meryem; Koruoğlu, Özden; Tekcan, Ahmet (Editura Acad Romane, 2016)In this work, our main goal is to determine the connection between positive quadratic forms F = (a, b, c) in (H) over bar (root 2) whose base points z = z(F) lie on the line x = root 2/m and the elements of extended Hecke ... 
The pell equation x 2py 2 = Q
Let p be a prime number such that p ≡ 1(mod 4), say p = 1+4k for a positive integer k. Let P = 2k + 1 and Q = k 2. In this paper, we consider the integer solutions of the Pell equation x 2Py 2 = Q over Z and also over ... 
Primes in z[exp(2 pi i/3)]
Namlı, Dilek; Cangül, İsmail Naci; Çevik, Ahmet Sinan; Güngör, Dilek; Tekcan, Ahmet (Amer Inst Physics, 2010)In this paper, we study the primes in the ring Z[w], where w = exp(2 pi i/3) is a cubic root of unity. We gave a classification of them and some results related to the use of them in the calculation of cubic residues are obtained.