The Atkin orthogonal polynomials for congruence subgroups of low levels

DOI10.1007/s11139-007-9026-8zbMath1181.11037OpenAlexW1987625821MaRDI QIDQ926487

Hiroyuki Tsutsumi

Publication date: 20 May 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9026-8

zbMATH Keywords

hypergeometric seriesmodular formAtkin's orthogonal polynomials

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (6)

Supersingular elliptic curves and moonshine ⋮ The Atkin orthogonal polynomials for the Fricke groups of levels 5 and 7 ⋮ The Hasse invariant of the Tate normal form \(E_7\) and the supersingular polynomial for the Fricke group \(\Gamma_0^*(7)\) ⋮ Extremal quasimodular forms for low-level congruence subgroups ⋮ ON ASYMPTOTICALLY OPTIMAL TOWERS OVER QUADRATIC FIELDS RELATED TO GAUSS HYPERGEOMETRIC FUNCTIONS ⋮ The number of linear factors of supersingular polynomials and sporadic simple groups

Cites Work

• Classical automorphic forms and hypergeometric functions
• A characterization of arithmetic Fuchsian groups
• On modular forms arising from a differential equation of hypergeometric type
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
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