16 citations · 61 across the 19 of their papers we have counts for
9 papers · 1 filter
Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields
Harald Grobner, Michael Harris, Jie Lin
The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic -functions and the multiplicative relations between periods of arithmeti…
Deligne's conjecture for automorphic motives over CM-fields
Harald Grobner, Michael Harris, Jie Lin
The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic -functions and the multiplicative relations between periods of arithmeti…
Factorization of arithmetic automorphic periods
Jie Lin
In this paper, we prove that the arithmetic automorphic periods for over a CM field factorize through the infinite places. This generalizes a conjecture of Shimura in 1983…
Special values of -functions and the refined Gan-Gross-Prasad conjecture
Harald Grobner, Jie Lin
We prove explicit rationality-results for Asai- -functions, , and Rankin-Selberg -functions, , over arbitrary CM-fields , relatin…
Galois equivariance of critical values of -functions for unitary groups
Lucio Guerberoff, Jie Lin
The goal of this paper is to provide a refinement of a formula proved by the first author which expresses some critical values of automorphic -functions on unitary groups as Pet…
An automorphic variant of the Deligne conjecture
Jie Lin
In this paper we introduce an automorphic variant of the Deligne conjecture for tensor product of two motives over a quadratic imaginary field. On one hand, we define some motivic…