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- W4281562588 abstract "The rank one Gross conjecture for Deligne–Ribet p-adic L-functions was solved in works of Darmon-Dasgupta-Pollack and Ventullo by the Eisenstein congruence among Hilbert modular forms. The purpose of this paper is to prove an analogue of the Gross conjecture for the Katz p-adic L-functions attached to imaginary quadratic fields via the congruences between CM forms and non-CM forms. The new ingredient is to apply the p-adic Rankin–Selberg method to construct a non-CM Hida family which is congruent to a Hida family of CM forms at the $$1+varepsilon $$ specialization." @default.
- W4281562588 created "2022-05-27" @default.
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- W4281562588 date "2022-05-26" @default.
- W4281562588 modified "2023-10-16" @default.
- W4281562588 title "The derivative formula of p-adic L-functions for imaginary quadratic fields at trivial zeros" @default.
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- W4281562588 doi "https://doi.org/10.1007/s40316-022-00198-6" @default.
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