The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions

By Binyong Sun. 2013

51 citations recorded by the source corpus.

We prove the nonvanishing hypothesis at infinity for Rankin-Selberg convolutions for $\GL(n)\times \GL(n-1)$.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/46a3f1ead5e9dbf64460767eb13d121be681d137

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. Michael Harris
2. A. Raghuram
3. H. Grobner

In Geometry and Topology

1. H. Grobner
2. Michael Harris
3. A. Raghuram
4. T. Gee
5. Peter Scholze
6. David Geraghty
7. Ana Caraiani
8. W. Gan

In Mathematical Physics

1. H. Grobner
2. Michael Harris
3. A. Raghuram
4. T. Gee
5. Peter Scholze
6. David Geraghty
7. Ana Caraiani
8. W. Gan

Citations in the corpus

• WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, methodology): “In his companion paper [44] he applies this method to cohomological Rankin–Selberg zeta integrals for GLn(R)×GLn−1(R) and for GLn(C)×GLn−1(C).”
• Critical values of Rankin-Selberg L-functions for GL(n) x GL(n-1) and the symmetric cube L-functions for GL(2) (2013, background): “Binyong Sun [38] has recently proved that the local pairings are all nonzero giving us the following”