CONGRUENCE PRIMES FOR SIEGEL MODULAR FORMS OF PARAMODULAR LEVEL AND APPLICATIONS TO THE BLOCH–KATO CONJECTURE

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Modular correspondences, etc. (11F32)

Related Items (1)

CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINORL-VALUES

Cites Work

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Hilbert modular forms and the Gross-Stark conjecture
On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
Congruences among modular forms on \(\text{U}(2,2)\) and the Bloch-Kato conjecture
Nearly holomorphic functions on Hermitian symmetric spaces
Heegner points and derivatives of \(L\)-series. II
Jacobi forms and a certain space of modular forms
Confluent hypergeometric functions on tube domains
On the arithmetic of Siegel-Hilbert cusp forms: Petersson inner products and Fourier coefficients
A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
Eisenstein series and zeta functions on symplectic groups
Yoshida lifts and Selmer groups
Canonical periods and congruence formulae
Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts
The Maass space for \(U(2,2)\) and the Bloch-Kato conjecture for the symmetric square motive of a modular form
Local newforms for \(\text{GSp}(4)\)
The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
Yoshida lifts and the Bloch-Kato conjecture for the convolution \(L\)-function
On the Bloch-Kato conjecture for elliptic modular forms of square-free level
Congruence of Siegel modular forms and special values of their standard zeta functions
The Iwasawa conjecture for totally real fields
Special values of L-functions for Saito–Kurokawa lifts
On the Cuspidality of Pullbacks of Siegel Eisenstein Series and Applications to the Bloch-Kato Conjecture
Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture
On classical Saito-Kurokawa liftings
Euler Systems
Paramodular abelian varieties of odd conductor
Siegel modular forms and representations

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