Yazar "Kesicioğlu, Yavuz" için listeleme
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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 ?2
In this paper, we investigate suborbital graphs formed by the action of?2which is the group generated by the second powers of the elementsof the modular group ? on ^Q. Firstly, conditions for being an edge,self-paired and ... -
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 ...
