In this paper, we introduce some Fuchsian groups and calculate their parabolic class numbers. In addition, we give two conjectures concerning with the parabolic class number.
In this study, we introduce some modular subgroups and we calculate parabolic class numbers of those groups. In addition to this, we gave a nice formula for the parabolic class number of Gamma(0)(n(2)).
In this study, we investigate positive integer solutions of the Diophantine equations x(2) - kxy(sic)y(2)(sic)x = 0 and x(2)-kxy-y(2)(sic)y = 0. It is shown that when k > 3,x2-kxy+y(2)+x = 0 has no positive integer solutions ...
In this study, we characterize all circuits in the suborbital graph for the normalizer of Gamma(0) (m) when in is a square-free positive integer. We propose a conjecture concerning the suborbital graphs. (C) 2004 Elsevier ...