On modular forms arising from a differential equation of hypergeometric type
From MaRDI portal
Publication:1417927
DOI10.1023/A:1026291027692zbMath1050.11047arXivmath/0206022MaRDI QIDQ1417927
Publication date: 6 January 2004
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0206022
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (43)
The third order modular linear differential equations ⋮ MAGNETIC (QUASI-)MODULAR FORMS ⋮ THE ATKIN ORTHOGONAL POLYNOMIALS FOR THE LOW-LEVEL FRICKE GROUPS AND THEIR APPLICATION ⋮ Vectorial Drinfeld modular forms over Tate algebras ⋮ Modular forms and second order ordinary differential equations: applications to vertex operator algebras ⋮ ON THE MODULARITY OF SOLUTIONS TO CERTAIN DIFFERENTIAL EQUATIONS OF HYPERGEOMETRIC TYPE ⋮ Values of certain \(L\)-series in positive characteristic ⋮ Elliptic genus and modular differential equations ⋮ Towards a classification of two-character rational conformal field theories ⋮ Classification of unitary RCFTs with two primaries and central charge less than 25 ⋮ Modular differential equations of the elliptic genus of Calabi-Yau fourfolds ⋮ Eisenstein series associated with \(\Gamma_{0}(2)\) ⋮ On intermediate Lie algebra \(E_{7+1/2}\) ⋮ Construction of modular differential equations by using Rankin-Cohen brackets ⋮ The intermediate vertex subalgebras of the lattice vertex operator algebras ⋮ The Atkin orthogonal polynomials for congruence subgroups of low levels ⋮ Quasimodular forms as solutions of modular differential equations ⋮ On modular solutions of fractional weights for the Kaneko-Zagier equation for \(\varGamma^*_0(2)\) and \(\varGamma^*_0(3)\) ⋮ Automorphic Schwarzian equations ⋮ A mixed mock modular solution of the Kaneko-Zagier equation ⋮ 2-dimensional vector-valued modular forms ⋮ Discreteness and integrality in conformal field theory ⋮ Vertex operator algebras, Higgs branches, and modular differential equations ⋮ On modular solutions of certain meromorphic modular differential equations ⋮ Wronskian indices and rational conformal field theories ⋮ Kaneko-Zagier type equation for Jacobi forms of index 1 ⋮ On some vertex algebras related to \(V_{-1}(\mathfrak{sl}(n))\) and their characters ⋮ Modular differential equations of second order with regular singularities at elliptic points for $SL_2(\mathbb {Z})$ ⋮ Hypergeometric series, modular linear differential equations and vector-valued modular forms ⋮ Gromov-Witten theory of \(K3\) surfaces and a Kaneko-Zagier equation for Jacobi forms ⋮ Vertex operator algebras with central charge 8 and 16 ⋮ ORTHOGONAL SYSTEMS OF MODULAR FORMS AND SUPERSINGULAR POLYNOMIALS ⋮ The arithmetic of vector-valued modular forms on Γ0(2) ⋮ The index of a modular differential operator ⋮ Equivariant solutions to modular Schwarzian equations ⋮ On certain families of Drinfeld quasi-modular forms ⋮ Modular ordinary differential equations on \(\mathrm{SL}(2,\mathbb{Z})\) of third order and applications ⋮ ON EXTREMAL QUASI-MODULAR FORMS AFTER KANEKO AND KOIKE ⋮ Rational CFT with three characters: the quasi-character approach ⋮ Honda-Kaneko congruences and the Mazur-Tate \(p\)-adic \(\sigma\)-function ⋮ Classifying three-character RCFTs with Wronskian index equalling 0 or 2 ⋮ The modular differential equation for skew-holomorphic Jacobi forms ⋮ EXTREMAL QUASIMODULAR FORMS OF LOWER DEPTH WITH INTEGRAL FOURIER COEFFICIENTS
This page was built for publication: On modular forms arising from a differential equation of hypergeometric type