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Keywords = non-holomorphic Eisenstein series summation

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5 pages, 238 KB  
Proceeding Paper
The Desymmetrized PSL(2, Z) Group; Its ‘Square-Box’ One-Cusp Congruence Subgroups
by Orchidea Maria Lecian
Comput. Sci. Math. Forum 2023, 7(1), 49; https://doi.org/10.3390/IOCMA2023-14428 - 28 Apr 2023
Viewed by 1153
Abstract
In this paper, the desymmetrized PSL(2, Z) group is studied. The Fourier coefficients of the non-holomorphic one-cusp Eisenstein series expansion are summed, and as a further result, a new dependence on the Euler’s γ constant is found. The congruence subgroups of [...] Read more.
In this paper, the desymmetrized PSL(2, Z) group is studied. The Fourier coefficients of the non-holomorphic one-cusp Eisenstein series expansion are summed, and as a further result, a new dependence on the Euler’s γ constant is found. The congruence subgroups of the desymmetrized PSL(2,Z) are scrutinized, and the related structures are investigated. A ‘square-box’ one-cusp congruence subgroup is constructed. New leaky tori are constructed. Full article
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