On the nonvanishing of the central value of the Rankin-Selberg L-functions

By D. Ginzburg, Dihua Jiang, S. Rallis. 2004

88 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e12a6c4b2037d2c5787099268bf5334536a1f78b

How researchers see this paper

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

In Algebra and Number Theory

1. Xiaoqing Li
2. Wei Zhang
3. R. Munshi
4. Nicolas Templier
5. Atsushi Ichino
6. V. Blomer
7. C. Skinner
8. Djordje Milićević

In Geometry and Topology

1. Xiaoqing Li
2. Wei Zhang
3. C. Skinner
4. Chong-Quan Zhang

In Mathematical Physics

1. Xiaoqing Li
2. Wei Zhang
3. R. Munshi
4. Nicolas Templier
5. Atsushi Ichino
6. V. Blomer
7. C. Skinner
8. Chong-Quan Zhang

Citations in the corpus

• Transfer of Siegel Cusp Forms of Degree 2 (2011, unknown): “680 of [19] and the comments thereafter.”
• On arithmetic fundamental lemmas (2012, background): “), and Ginzburg–Jiang–Rallis’s work on higher rank groups ([4, 5] etc.”
• Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups (2014, background): “For the general case, Ginzburg–Jiang–Rallis’s work ([15],[16] etc.”
• The Central value of the Rankin–Selberg L-Functions (2008, background): “’s formula [Wa] which relates L 1 2,f×uj L 1 2,uj to some period integrals. Then the nonvanishing of such L-functions at the central point implies the nonvanishing of those periods, see also [Re] and [GJR] from the representation theory point of view. 2. The technology in this paper also yields X j ”
• Automorphic period and the central value of Rankin--Selberg L-function (2012, background): “The reader may consult the introduction of [11] for an overview of the study of the central value L(1/2, πn,E × πn+1,E).”