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math.NT2021★ 1 cited
Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on
Francesc Castella, Zheng Liu, Xin Wan
In this paper we prove one side divisibility of the Iwasawa-Greenberg main conjecture for Rankin-Selberg product of a weight two cusp form and an ordinary CM form of higher weight,…
math.NT2020★ 1 cited
The Iwasawa Main Conjectures for and derivatives of -adic -functions
Francesc Castella, Xin Wan
We prove under mild hypotheses the three-variable Iwasawa main conjecture for -ordinary modular forms in the indefinite setting. Our result is in a setting complementary to that…
math.NT2019
Iwasawa theory for , Bloch-Kato conjecture and Functional Equation
Xin Wan
In this paper we develop a new method to study Iwasawa theory and Eisenstein families for unitary groups of general signature over a totally real field . As a…