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WEYL GROUP MULTIPLE DIRICHLET SERIES OF TYPE A2
Dirichlet series rational function gaussian type
2014/12/25
A Weyl group multiple Dirichlet series is a Dirichlet series in several complex variables attached to a root system . The number of variables equals the rank r of the root system, and the series sati...
Weyl group multiple Dirichlet series constructed from quadratic characters
Dirichlet coefficient function equation of variable properties
2014/12/25
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 gr...
On the p-parts of quadratic Weyl group multiple Dirichlet series
Reduce the root dirichlet level dirichlet series
2014/12/24
Let Φ be a reduced root system of rank r. A Weyl group multiple Dirichlet series for Φ is a Dirichlet series in r complex variables s1,…, sr , initially converging for (si) sufficiently large, which h...
LITTELMANN PATTERNS AND WEYL GROUP MULTIPLE DIRICHLET SERIES OF TYPE D
Vail group the root type pattern
2014/12/24
We formulate a conjecture for the local parts of Weyl group multiple Dirichlet series attached to root systems of type D. Our conjecture is analogous to the description of the local parts of type A se...
CONSTRUCTING WEYL GROUP MULTIPLE DIRICHLET SERIES
Lower level dirichlet series gathered themselves together transformation
2014/12/24
Let be a reduced root system of rank . A Weyl group multiple Dirichlet series for is a Dirichlet series in complex variables , initially converging for sufficiently large, that has meromorphic continu...