The Atkin orthogonal polynomials for the Fricke groups of levels 5 and 7

DOI10.1142/S1793042114500766zbMath1318.11055OpenAlexW2030392798MaRDI QIDQ2931760

Yuichi Sakai

Publication date: 27 November 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042114500766

zbMATH Keywords

Atkin's orthogonal polynomialsmodular/quasimodular form

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Supersingular conjectures for the Fricke group ⋮ The Hasse invariant of the Tate normal form \(E_7\) and the supersingular polynomial for the Fricke group \(\Gamma_0^*(7)\) ⋮ On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\) ⋮ The Hasse invariant of the Tate normal form \(E_5\) and the class number of \(\mathbb{Q}(\sqrt{-5l})\) ⋮ The number of linear factors of supersingular polynomials and sporadic simple groups

Cites Work

• Extremal quasimodular forms for low-level congruence subgroups
• The Atkin orthogonal polynomials for congruence subgroups of low levels
• Advanced determinant calculus: a complement
• THE ATKIN ORTHOGONAL POLYNOMIALS FOR THE LOW-LEVEL FRICKE GROUPS AND THEIR APPLICATION
• ON EXTREMAL QUASIMODULAR FORMS

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