Congruences among modular forms on U (2, 2) and the Bloch-Kato conjecture

K Klosin - Annales de l'institut Fourier, 2009 - numdam.org
Let k be a positive integer divisible by 4, p> ka prime, f an elliptic cuspidal eigenform
(ordinary at p) of weight k− 1, level 4 and nontrivial character. In this paper we provide …

[PDF][PDF] THE MAASS SPACE FOR U (2, 2) AND THE BLOCH-KATO CONJECTURE FOR THE ADJOINT MOTIVE OF A MODULAR FORM

K KLOSIN - 2011 - Citeseer
Let K be an imaginary quadratic field of discriminant DK. We introduce a notion of an adelic
Maass space SM k,− k/2 for automorphic forms on the quasi-split unitary group U (2, 2) …

[PDF][PDF] PULLBACKS OF EISENSTEIN SERIES ON U (3, 3) AND NON-VANISHING OF SHAFAREVICH-TATE GROUPS

JIM BROWN - Citeseer
In this paper we construct a pullback formula of a Siegel Eisenstein series on GU (3, 3) to
GSp (4)× GL (2) and use it to study the Bloch-Kato conjecture for automorphic forms on GL …

[PDF][PDF] SAITO-KUROKAWA LIFTS AND APPLICATIONS TO ARITHMETIC

J BROWN - Citeseer
In this short survey paper we present an outline for using the Saito-Kurokawa
correspondence to provide evidence for the Bloch-Kato conjecture for modular forms …