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View article: An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative
An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative Open
Let be one of the distinct square-free integers such that the arithmetic group has genus one. We constructed canonical generators and for the associated function field (see Jorgenson, L. Smajlović, and H. Then [Exp. Math. 25 (2016), p…
View article: Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues
Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues Open
We compute the Cheeger constants of a collection of hyperbolic surfaces corresponding to maximal non-compact arithmetic Fuchsian groups, and to subgroups which are the rotation subgroup of maximal reflection groups. The Cheeger constants a…
View article: Kronecker’s Limit Formula, Holomorphic Modular Functions, and<i>q</i>-Expansions on Certain Arithmetic Groups
Kronecker’s Limit Formula, Holomorphic Modular Functions, and<i>q</i>-Expansions on Certain Arithmetic Groups Open
For any square-free integer $N$ such that the "moonshine group"\n$\\Gamma_0(N)^+$ has genus zero, the Monstrous Moonshine Conjectures relate the\nHauptmoduli of $\\Gamma_0(N)^+$ to certain McKay-Thompson series associated to\nthe represent…