On two families of modular subgroups

DOI10.1016/j.jnt.2018.11.013zbMath1460.11047OpenAlexW2904510447MaRDI QIDQ1729759

Dongxi Ye

Publication date: 28 February 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.11.013

zbMATH Keywords

modular curvesmodular formsmodular subgroupsmodular \(\mu\)-function

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Structure of modular groups and generalizations; arithmetic groups (11F06) Holomorphic modular forms of integral weight (11F11) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Cites Work

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• Some non-congruence subgroups and the associated modular curves
• Class invariants by Shimura's reciprocity law
• Singular values of principal moduli
• The Rogers-Ramanujan continued fraction and its level 13 analogue
• Generators and relations of \(\Gamma_0\)(N)
• Über einige Anwendungen Dedekindscher Summen.

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