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math.NT2025
On the congruence ideal associated to -adic families of Yoshida lifts
Ming-Lun Hsieh, Bharathwaj Palvannan
We study congruences involving -adic families of Hecke eigensystems of Yoshida lifts associated with two Hida families (say ) of elliptic cusp forms. Wi…
math.NT2018
On the non-vanishing of generalized Kato classes for elliptic curves of rank
Francesc Castella, Ming-Lun Hsieh
We prove the first cases of a conjecture by Darmon--Rotger on the non-vanishing of generalized Kato classes attached to elliptic curves over of rank . Our metho…