Computing Maass cusp form on general hyperbolic torus

Shamsuddin, Nor Syazana; Zainuddin, Hishamuddin; Chan, K.T.

doi:10.1063/1.4972158

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A New Gutzwiller-terras Leaky Torus1

Outlook and Perspectives1

Introduction1

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2023

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Cited by 1 publication

(3 citation statements)

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“…The new sides identification here proposed is different from that induced in [7] after [1] pag. 181 after [6].…”

Section: A New Gutzwiller-terras Leaky Torusmentioning

confidence: 70%

“…The leaky torus proposed in [6], [1] pag. 181, and [7] is here newly constructed after new generators. One new type of construction of leaky tori, provided with in Section V, is obtained after unfolding the triangular symmetric PSL(2,Z) group.…”

Section: Outlook and Perspectivesmentioning

confidence: 99%

“…The construction of leaky tori is proposed in [6], [1] and [7]. Further results are obtained in [8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Desymmetrized Psl(2,z) Group, the ‘Square Box’ Congruence Subgroup, the Congruence Subgroups and Leaky Tori

Lecian

2023

ijmcr

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The desymmetrized PSL(2,Z) group is considered. The congruence subgroups of the desymmetrized PSL(2,Z) group are analysed according to the hyperbolic reflections contained. The Laplace-Beltrami problem and the Hamiltonian problem associated with the Laplace-Beltrami operator are discussed according to the boundary conditions for the grouppal structures. New constructions of the leaky tori are found; in particular, they are obtained after the generators of the PSL(2,Z) group, from the desymmetrized-triangle PSL(2,Z) group, and from the ’square-box’ Γ0 congruence subgroup of the desymmetrized PSL(2,Z) group

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“…The new sides identification here proposed is different from that induced in [7] after [1] pag. 181 after [6].…”

Section: A New Gutzwiller-terras Leaky Torusmentioning

confidence: 70%