Twisted Weyl group multiple Dirichlet series over the rational function field
نویسندگان
چکیده
Weyl group multiple Dirichlet series are in r complex variables, with analytic continuation to Cr and a of functional equations isomorphic the reduced root system rank r. Such may be defined for any global field K, but case when K is an algebraic function they expected be, up variable change, rational functions several variables. We verify rationality these K=Fq(T), describe denominators support numerators.
منابع مشابه
Twisted Weyl Group Multiple Dirichlet Series Over the Rational Function Field
TWISTED WEYL GROUP MULTIPLE DIRICHLET SERIES OVER THE RATIONAL FUNCTION FIELD SEPTEMBER 2013 HOLLEY A. FRIEDLANDER, B.A., UNIVERSITY OF VERMONT M.S., UNIVERSITY OF MASSACHUSETTS AMHERST Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST Directed by: Professor Paul E. Gunnells Let K be a global field. For each prime p of K, the p-part of a multiple Dirichlet series defined over K is a generating functio...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2023
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2023.07.001