Browsing by Author "Yang, YF"

Now showing 1 - 4 of 4

On integrals of Eisenstein series and derivatives of L-series
(2004)
Yang, YF
;
應用數學系
;
Department of Applied Mathematics
On Rademacher's conjecture: congruence subgroups of genus zero of the modular group
(2004-07-01)
Chua, KS
;
Lang, ML
;
Yang, YF
;
應用數學系
;
Department of Applied Mathematics
We list all genus zero congruence subgroups of PSL2(Z). There are altogether 132 of them (up to conjugation in PSL2(Z)). Geometrical invariants (genus, upsilon(2), upsilon(3), number of cusps, index in PSL2(Z)), fundamental polygons, Farey symbol, and independent generators of all such groups are determined. Generators of the function fields associated to such groups are also determined (http://www.math.nus.edu.sg/-matlm1/). (C) 2004 Elsevier Inc. All rights reserved.
On Rademacher's conjecture: congruence subgroups of genus zero of the modular group
(2004-07-01)
Chua, KS
;
Lang, ML
;
Yang, YF
;
應用數學系
;
Department of Applied Mathematics
We list all genus zero congruence subgroups of PSL2(Z). There are altogether 132 of them (up to conjugation in PSL2(Z)). Geometrical invariants (genus, upsilon(2), upsilon(3), number of cusps, index in PSL2(Z)), fundamental polygons, Farey symbol, and independent generators of all such groups are determined. Generators of the function fields associated to such groups are also determined (http://www.math.nus.edu.sg/-matlm1/). (C) 2004 Elsevier Inc. All rights reserved.
Transformation formulas for generalized Dedekind eta functions
(2004-09-01)
Yang, YF
;
應用數學系
;
Department of Applied Mathematics
Transformation formulas are obtained for generalized Dedekind eta functions; these are simpler to apply than Schoeneberg's formulas. As an application, a list is given of the generators of all the function fields associated with torsion-free genus zero congruence subgroups of PSL2(R).