Theory of Zeta-Functions of Root Systems

AvYasushi Komori,Kohji Matsumoto

Inbunden, Engelska, 2024

Del i serien Springer Monographs in Mathematics

1 380 kr

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Häftad

1 380 kr

Beskrivning

The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, Mordell–Tornheim multiple zeta-functions, and Euler–Zagier multiple zeta-functions.

Produktinformation

Utgivningsdatum:2024-01-03
Mått:155 x 235 x 29 mm
Vikt:799 g
Format:Inbunden
Språk:Engelska
Serie:Springer Monographs in Mathematics
Antal sidor:414
Förlag:Springer Verlag, Singapore
ISBN:9789819909094

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Recensioner i media

“The book is well structured … . This book can be a good tool for mathematicians interested in multivariable multiple zeta-functions since, together with new results presented and new methods introduced, it provides a necessary basis for the study of them or provide the links to suitable sources.” (Roma Kačinskaitė, zbMATH 1545.11002, 2024)

Innehållsförteckning

Introduction.- Fundamentals of the theory of Lie algebras and root systems.- Definitions and examples.- Values at positive even integer points.- Convex polytopes and the rationality.- The recursive structure.- The meromorphic continuation.- Functional relations (I).- Functional relations (II).- Poincar´e 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.