Dong Yan
Published 2018-01-22Version 1
In this paper, we discuss the variation of the number of the isomorphic class of stable lattices when the weight and the level varies in Hida deformation by using the Kubota-Leopoldt $p$-adic $L$-function. As a corollary, we give a sufficient condition for the numbers of the isomorphic class of stable lattices in Hida deformation to be infinite.
Congruences like Atkin's for the partition function
$λ$-invariant stability in families of modular Galois representations
Tables of modular Galois representations
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