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Weyl Group Multiple Dirichlet Series by Ben Brubaker, Daniel Bump, Solomon Friedberg

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Chapter Thirteen

The Reduction to Statement D

We now switch to the language of resotopes, as defined in Chapter 6. We remind the reader that we may assume and γLε and γRε are multiples of n for every totally resonant episode. We also recall that s and d are the weights of the accordions (6.15) and (6.17) under consideration.

PROPOSITION 13.1 Statement D is equivalent to Statement C. Moreover, Statement D is true if n image s.

Proof. The case of a totally resonant short Gelfand-Tsetlin pattern image is a special case of Proposition 11.4, and the point is that ...

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