Komori Y., Matsumoto K., Tsumura H. The Theory of Zeta-Functions of Root Systems

Springer, 2024. — 419 p.Preface
Introduction
Fundamentals of the theory of Lie algebras and root systems
Definitions and examples
Convex polytopes and the rationality
The recursive structure
The meromorphic continuation
Functional relations (I)
Functional relations (II)
Poincaré polynomials and values at integer points
The case of the exceptional algebra G2
Applications to multiple zeta values (I)
Applications to multiple zeta values (II)
L-functions
Zeta-functions of Lie groups
Lattice sums of hyperplane arrangements
Miscellaneous results
Bibliography
Index