Yazar "Kesicioğlu, Yavuz" için FEF, Matematik Bölümü Koleksiyonu listeleme
-
Circuit lengths of graphs for the Picard group
Besenk, Murat; Güler, Bahadır Özgür; Değer, Ali Hikmet; Kesicioğlu, Yavuz (Springer International Publishing Ag, 2013)In this paper, we examine some properties of suborbital graphs for the Picard group. We obtain edge and circuit conditions, then propose a conjecture for the graph to be forest. This paper is an extension of some results ... -
Connectedness of a suborbital graph for congruence subgroups
Kesicioğlu, Yavuz; Akbaş, Mehmet; Besenk, Murat (Springer International Publishing Ag, 2013)In this paper, we give necessary and sufficient conditions for the graph to be connected and a forest. MSC: 20H10, 20H05, 05C05, 05C20. -
Disconnectedness of the subgraph F-3 for the group Gamma(3)
Akbaş, Mehmet; Kor, Tuncay; Kesicioğlu, Yavuz (Springeropen, 2013)In this paper we show that the subgraph F-3 is disconnected and that for all integers m, we find all integers a and b such that (9m(2) - 4)a(2) + 4 and 5b(2) +/- 4 are square. It turns out that the set of numbers b comprises ... -
Evaluation of the convolution sum sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27)
Alaca, Şaban; Kesicioğlu, Yavuz (Wydawnictwo Naukowe Uam, 2019)We determine the convolution sum Sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27) for all positive integers n. We then use these evaluations together with known evaluations of other convolution ... -
Evaluation of the convolution sum ∑al+bm=nσ(l)σ3(m) for (a,b)=(1,7),(7,1),(1,8),(8,1),(1,9),(9,1) and representations by certain quadratic forms in twelve variables
Alaca, Şaban; Kesicioğlu, Yavuz (Springer, 2023)For a positive integer n we evaluate the convolution sum Sigma(al+ bm=n) sigma(l) sigma(3)(m) for (a, b) = (1, 7), (7, 1), (1, 8), (8, 1), (1, 9), (9, 1) . We then use these evaluations together with knownevaluations of ... -
Evaluation of the convolution sums Sigma(l+27m=n) sigma(l)sigma(m) and Sigma(l+32m=n) sigma(l)sigma(m)
Alaca, Şaban; Kesicioğlu, Yavuz (World Scientific Publ Co Pte Ltd, 2016)We determine the convolution sums Sigma(l+27m= n) sigma(l)sigma(m) and Sigma(l+32m= n) sigma(l)sigma(m) for all positive integers n. We then use these evaluations together with known evaluations of other convolution sums ... -
On suborbital graphs for the group gamma(3)
Kesicioğlu, Yavuz; Akbaş, Mehmet (Springer Singapore Pte Ltd, 2020)In this paper, we investigate suborbital graphs generated by the action of the group G 3 which is the group obtained from the third powers of the elements of the modular group G on Q. {8}. First, we give necessary and ... -
Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6
Alaca, Şaban; Kesicioğlu, Yavuz (World Scientific Publ Co Pte Ltd, 2014)We determine formulae for the numbers of representations of a positive integer by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6. -
Suborbital graphs for the group Gamma(2)
Güler, Bahadır Özgür; Besenk, Murat; Kesicioğlu, Yavuz; Değer, Ali Hikmet (Hacettepe Univ, Fac Sci, 2015)In this paper, we investigate suborbital graphs formed by the action of 2 which is the group generated by the second powers of the elements of the modular group Gamma on (Q) over cap Q. Firstly, conditions for being an ...