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math.NT2025
The Gan-Gross-Prasad period of Klingen Eisenstein families over unitary groups
Ruichen Xu
In this article, we compute the Gan-Gross-Prasad period integral of Klingen Eisenstein series over the unitary group with a cuspidal automorphic form over $\…
math.NT2025
On the Mordell-Weil rank of certain CM abelian varieties over anticyclotomic towers
Haidong Li, Ruichen Xu
Let be an imaginary quadratic extension, and let be an odd prime. In this paper, we investigate the growth of Mordell-Weil ranks of CM abelian varieties associat…