Let f1 (resp. f2) denote two (elliptic) newforms of prime level N, trivial character and weight 2
(resp. k+ 2, where k∈{8, 12}). We provide evidence for the Bloch–Kato conjecture for the …

We construct $ p $-adic $ L $-functions interpolating the critical values of the degree eight $
L $-functions of ${\rm GSp}(4)\times {\rm GL}(2) $ for cuspidal automorphic representations …

Let κ ≥ 6 κ≥ 6 be an even integer, MM an odd square-free integer, and f ∈ S_ 2 κ-2 (Γ _0
(M)) f∈ S 2 κ-2 (Γ 0 (M)) a newform. We prove that under some reasonable assumptions that …

We use higher Coleman theory to construct a new $ p $-adic $ L $-function for $\text {GSp}
_4\times\text {GL} _2 $. While previous works by the first author, Pilloni, Skinner and Zerbes …

Let f be a newform of level 1 and weight (2 κ− n) for positive even integers κ and n. We study
congruence primes for the Ikeda lift of f. In particular, we consider a conjecture of Katsurada …

It has been well established that congruences between automorphic forms have far-
reaching applications in arithmetic. In this paper, we construct congruences for Siegel …

For a prime p and a positive integer g, by making use of certain lifting procedures, we study
some constructions of p-adic families of Siegel modular forms of genus g and associated p …

In this paper we study the pullback of a Siegel Eisenstein series on Sp2m+ 2n to Sp2m×
Sp2n. There is a well-established literature on such pullbacks. In the case that m= n Garrett …

It has been well-established that congruences between automorphic forms have far
reaching applications in arithmetic. In this paper we construct congruences for Siegel Hilbert …

For a prime p and a positive integer n, using certain lifting procedures, we study some
constructions of p-adic families of Siegel modular forms of genus n. Describing L-functions …