Ara
Toplam kayıt 9, listelenen: 1-9
Disconnectedness of the subgraph F-3 for the group Gamma(3)
(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 ...
Circuit lengths of graphs for the Picard group
(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
(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.
Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6
(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)
(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 ...
Evaluation of the convolution sums Sigma(l+27m=n) sigma(l)sigma(m) and Sigma(l+32m=n) sigma(l)sigma(m)
(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 ...
Evaluation of the convolution sum sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27)
(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 ...
On suborbital graphs for the group gamma(3)
(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 ...
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
(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 ...