The Theory of Zeta-Functions of Root Systems
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. Zeta-functions of root systems are defined by certain multiple series, given in terms of root systems. T...
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| Auteurs principaux: | , , |
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| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2023.
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| Édition: | 1st ed. 2023. |
| Collection: | Springer Monographs in Mathematics,
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| Sujets: | |
| Accès en ligne: | https://doi.org/10.1007/978-981-99-0910-0 |
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Table des matières:
- 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.