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math.NT2025
-adic Asai and twisted triple product -functions for finite slope families
Ananyo Kazi, David Loeffler
We define a two-variable -adic Asai -function for a finite-slope family of Hilbert modular forms over a real quadratic field (with one component of the weight, and the cyclot…
math.NT2025
A -adic Gross-Zagier formula for twisted triple product -adic -functions attached to finite slope families
Ting-Han Huang, Ananyo Kazi
Our main objective in the present paper is to generalise the work of Blanco-Chacón and Fornea on the -adic Gross-Zagier formula for twisted triple product -aidc -function.…