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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Functional equation of twisted triple product L-function
Let $\mathbb{E}=E_1\times E_2\times E_3$ denote the product of three elliptic curves over $\mathbb{Q}$ of prime level $p$ and consider the $p$-adic Galois representation $$V_p(\mathbb{E})=H^1_{et}(E_ …