Weyl group multiple Dirichlet series constructed from quadratic characters

By Gautam Chinta, Paul E. Gunnells. 2006

58 citations recorded by the source corpus.

We construct multiple Dirichlet series in several complex variables whose coefficients involve quadratic residue symbols. The series are shown to have an analytic continuation and satisfy a certain group of functional equations. These are the first examples of an infinite collection of unstable Weyl group multiple Dirichlet series in greater than two variables having the properties predicted in [2].

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/19b16c1b35175a72f49d5a5c4a60b0448cb7ca89

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. S. Friedberg
2. Daniel Bump
3. Ben Brubaker
4. Jeffrey Hoffstein
5. Gautam Chinta
6. Omer Offen

In Applied Mathematics

1. Jeffrey Hoffstein
2. Daniel Bump
3. Ben Brubaker
4. S. Friedberg

In Mathematical Physics

1. Daniel Bump
2. S. Friedberg
3. Ben Brubaker
4. Jeffrey Hoffstein
5. Gautam Chinta
6. Paul E. Gunnells
7. Omer Offen

Citations in the corpus

• Weyl Group Multiple Dirichlet Series III: Eisenstein Series and Twisted Unstable Ar (2007, methodology): “After this paper was written, Chinta and Gunnells [12] gave a definition of the Weyl group multiple Dirichlet series when n = 2 for any simply-laced root system.”