arXiv subjects

Yuichi Hirano

Publications and source records attributed to Yuichi Hirano.

2 recordsLinked to original sources

arXiv2017

Congruences between Hilbert modular forms of weight $2$, and special values of their $L$-functions

The purpose of this paper is to show how a congruence between (the Fourier coefficients of) a Hilbert cusp form and a Hilbert Eisenstein series of parallel weight $2$ gives rise to congruences between algebraic parts of critical values of their $L$-functions. This is a generalization of a result of V. Vatsal.

math.NT↗

arXiv2017

Congruences between Hilbert modular forms of weight $2$, and the Iwasawa $λ$-invariants

The purpose of this paper is to prove the equality between the algebraic Iwasawa $λ$-invariant and the analytic Iwasawa $λ$-invariant for a Hilbert cusp form of parallel weight $2$ at an ordinary prime $p$ when the associated residual Galois representation is reducible. This is a generalization of a result of R. Greenberg and V. Vatsal.

math.NT↗