The Theory of Zeta-Functions of Root Systems

Name: The Theory of Zeta-Functions of Root Systems
Brand: Springer Nature
SKU: 9789819909094
Availability: InStock

The Theory of Zeta-Functions of Root Systems

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9789819909094

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, MordellTornheim multiple zeta-functions, and EulerZagier multiple zeta-functions. Zeta-functions of root systems are defined by certain multiple series, given in terms of root systems. Therefore, they intrinsically have the action of associated Weyl groups. The exposition begins with a brief introduction to the theory of Lie algebras and root systems and then provides the definition of zeta-functions of root systems, explicit examples associated with various simple Lie algebras, meromorphic continuation and recursive analytic structure described by Dynkin diagrams, special values at integer points, functional relations, and the background given by the action of Weyl groups. In particular, an explicit form of Wittens volume formula is provided. It is shown that various relations among special values of EulerZagier multiple zeta-functionswhich usually are called multiple zeta values (MZVs) and are quite important in connection with Zagiers conjectureare just special cases of various functional relations among zeta-functions of root systems. The authors further provide other applications to the theory of MZVs and also introduce generalizations with Dirichlet characters, and with certain congruence conditions. The book concludes with a brief description of other relevant topics.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $109.00 - $109.00

BEST PRICE

Single Product Purchase

$98.10

@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$109.00	$109.00		10% OFF This deals requires coupon Get Code Here your10off @ Link.springer.com Deals Ends 31/08/2025	$98.10		See Site	In stock	Visit Store