Automorphic period and the central value of Rankin--Selberg L-function

By Wei Zhang. 2012

94 citations recorded by the source corpus.

We prove a refinement of the global Gan-Gross-Prasad conjecture proposed by Ichino-Ikeda and N. Harris for unitary groups under some local conditions. We need to assume some expected properties of L-packets and some part of the local Gan-Gross-Prasad conjecture.

Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f9c78930cf17adc72f515aece8b2262d0c09aeed

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Michael Harris
2. H. Grobner
3. Wei Zhang

In Discrete Mathematics and Combinatorics

1. H. Grobner
2. Michael Harris
3. Wei Zhang
4. Chong-Quan Zhang

In Mathematical Physics

1. H. Grobner
2. Michael Harris
3. Wei Zhang
4. T. Gee
5. Peter Scholze
6. David Geraghty
7. Ana Caraiani
8. C. Skinner

Citations in the corpus

• Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups (2014, background): “A subsequent paper [56] is devoted to the refined conjecture for unitary groups.”
• WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, methodology): “The requirement that a prime p be split in the results of [46] can be removed whenever the Jacquet-Rallis fundamental lemma is known in residue characteristic p.”
• Shtukas and the Taylor expansion of L-functions (II) (2015, unknown): “3 of [31], there are linear functionals λx on the Whittaker models Wψx , λx(Wx, χx, s) := 1 L(πx ⊗ χx, s+ 1/2) ∫ F× x Wx Çñ a 1 ôå χx(a)|a| d×a,”