Kurokawa-Mizumoto congruence and differential operators on automorphic forms

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

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Poles and residues of standard L-functions attached to Siegel modular forms
Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II
Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions
On certain vector valued Siegel modular forms of degree two
Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two
Congruences between Siegel modular forms of degree two
Sums involving the values at negative integers of \(L\)-functions of quadratic characters
On the Segal-Shale-Weil representations and harmonic polynomials
On special values of standard \(L\)-functions attached to vector valued Siegel modular forms.
On integrality of Eisenstein liftings
Corrections to: On integrality of Eisenstein liftings
Congruences for Hecke eigenvalues of Siegel modular forms
Generic differential operators on Siegel modular forms and special polynomials
Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms
Kurokawa-Mizumoto congruences and degree-8 \(L\)-values
Siegel modular forms of degree three and the cohomology of local systems
Garrett's pullback formula for vector valued Siegel modular forms
Congruence of Siegel modular forms and special values of their standard zeta functions
Symmetric Square L-Functions and Shafarevich-Tate Groups
EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
An Explicit Formula for Siegel Series
Automorphic Forms and Even Unimodular Lattices
Harder's conjecture. I

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