Fuchsian groups, Schwarzians, and theta functions

DOI10.1016/S0764-4442(99)80045-7zbMath1007.11021OpenAlexW2061624998WikidataQ56688846 ScholiaQ56688846MaRDI QIDQ4221744

John McKay, Abdellah Sebbar

Publication date: 9 March 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(99)80045-7

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Automorphic forms, one variable (11F12) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ Classification of torsion-free genus zero congruence groups ⋮ Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\) ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics ⋮ The lambda extensions of the Ising correlation functions C(M,N)

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