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Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175)
Ben Brubaker
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Description for Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175)
Paperback. Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. This book proves foundational results about these series and develops their combinatorics. Series: Annals of Mathematics Studies. Num Pages: 184 pages, 1, black & white illustrations. BIC Classification: PBH; PBV. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 156 x 11. Weight in Grams: 302.
Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these series and develops their combinatorics. These interesting functions may be described as Whittaker coefficients of Eisenstein series ... Read more
Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these series and develops their combinatorics. These interesting functions may be described as Whittaker coefficients of Eisenstein series ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Princeton University Press United States
Number of pages
172
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
184
Place of Publication
New Jersey, United States
ISBN
9780691150666
SKU
V9780691150666
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Ben Brubaker
Ben Brubaker is assistant professor of mathematics at Massachusetts Institute of Technology. Daniel Bump is professor of mathematics at Stanford University. Solomon Friedberg is professor of mathematics at Boston College.
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