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Author:   Yasushi Komori ,  Kohji Matsumoto ,  Hirofumi Tsumura
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2023
Weight:   0.799kg
ISBN:  

9789819909094

ISBN 10:   9819909090
Pages:   414
Publication Date:   03 January 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

​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.

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