Weyl group multiple Dirichlet series

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.

שנה

2011

שפה

English

סדרה

Annals of mathematics studies -- no. 175

הוצאה

Princeton University Press

מהדורות

1

עמודים

158

ISBN

9780691150659

מקור הנתונים: Wikidata