Critical values of Rankin-Selberg L-functions for GL(n) x GL(n-1) and the symmetric cube L-functions for GL(2)
By A. Raghuram. 2013
57 citations recorded by the source corpus.
In a previous article we had proved an algebraicity result for the central critical value for L-functions for GL(n) x GL(n-1) over Q assuming the validity of a nonvanishing hypothesis involving archimedean integrals. The purpose of this article is to generalize that result for all critical values for L-functions for GL(n) x GL(n-1) over any number field F. Binyong Sun has recently proved that nonvanishing hypothesis and so the results of this article are unconditional. Using such results for the case of GL(3) x GL(2), new unconditional algebraicity results for the special values of symmetric cube L-functions for GL(2) over F have been proved.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ea8dc81dc0d359504aeaa2668cbf9d0385ac88d3
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
In Geometry and Topology
- H. Grobner
- Michael Harris
- T. Gee
- Peter Scholze
- David Geraghty
- Ana Caraiani
- Thomas Barnet-Lamb
- W. Gan
In Mathematical Physics
- H. Grobner
- Michael Harris
- T. Gee
- Peter Scholze
- David Geraghty
- Ana Caraiani
- Thomas Barnet-Lamb
- W. Gan
Citations in the corpus
- WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, methodology): “The present paper continues this series, proving a version of the main results of [36], [41] and [40] for the Rankin-Selberg L-function of a pair (Π,Π′) of a cuspidal automorphic representation Π of GLn of cohomological type, and a cuspidal or abelian automorphic representation Π′ of GLn−1, also of ”