Singular modular forms and theta relations
From MaRDI portal
Publication:1189378
DOI10.1007/BFb0093829zbMath0744.11024MaRDI QIDQ1189378
Publication date: 18 September 1992
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
representation theoremgeneratorstheta seriesFourier-Jacobi expansioncongruence subgroupshalf integral weightlinear relationssingular modular forms
Forms of half-integer weight; nonholomorphic modular forms (11F37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)
Related Items
Nearly holomorphic automorphic forms on \(\mathrm{SP}_{2n}\) with sufficiently regular infinitesimal characters and applications ⋮ Thetanullwerte and stable modular forms for Hecke groups ⋮ Vector valued theta series and Waldspurger's theorem ⋮ On the representations generated by Eisenstein series of weight \(\frac{n + 3}{2}\) ⋮ Siegel Eisenstein series of arbitrary level and theta series ⋮ On singular modular forms for principal congruence subgroups ⋮ Cuspidality and the growth of Fourier coefficients of modular forms ⋮ On the differential of applications defined on moduli spaces of p.p.a.v. with level theta structure ⋮ Codes and Siegel modular forms ⋮ Some new results about Jacobi forms ⋮ Modular forms of weight 8 for \(\Gamma_g(1, 2)\) ⋮ On an advice of Yu. V. Linnik, Hecke operators, and theta functions ⋮ On the dimensions of spaces of Siegel modular forms of weight one ⋮ Siegel Einstein series and Hecke operators ⋮ Heat equation for theta functions and vector-valued modular forms ⋮ Vector-valued modular forms and the Gauss map ⋮ Definite orthogonal modular forms: computations, excursions, and discoveries ⋮ Classical theta constants vs. lattice theta series, and super string partition functions ⋮ Hilbert-Siegelsche singuläre Modulformen ⋮ The Picard group of the moduli space of curves with level structures ⋮ Universally irreducible subvarieties of Siegel moduli spaces ⋮ Theta series and trace operators for \(\Gamma_n [ q\)] ⋮ Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\) ⋮ Jacobians with a vanishing theta-null in genus 4 ⋮ On the standard \(L\)-function attached to quaternionic modular forms ⋮ On Eisenstein polynomials and zeta polynomials ⋮ Type II codes over \(\mathbb Z/2k\mathbb Z\), invariant rings and theta series ⋮ On degree 2 Siegel cusp forms and its Fourier coefficients ⋮ Siegel Modular Forms and Their Applications ⋮ Computing genus $1$ Jacobi forms ⋮ Theta functions on Hermitian symmetric domains and fock representations ⋮ Action of Hecke operators on Maass theta series and zeta functions ⋮ On Eisenstein polynomials and zeta polynomials II ⋮ On zeta functions of orthogonal groups of single-class positive definite quadratic forms ⋮ On the Rankin–Selberg method for vector-valued Siegel modular forms ⋮ Cusp forms for congruence subgroups of $Sp_n(\mathbb {Z})$ and theta functions ⋮ Squares of automorphic forms on quaternion algebras and central values of \(L\)-functions of modular forms ⋮ Trace operator and theta series ⋮ Nonvanishing of Koecher-Maass series attached to Siegel cusp forms