Theory of Zeta-Functions of Root Systems

Theory of Zeta-Functions of Root Systems portes grátis

Theory of Zeta-Functions of Root Systems

Komori, Yasushi; Tsumura, Hirofumi; Matsumoto, Kohji

Springer Verlag, Singapore

01/2024

414

Dura

Inglês

9789819909094

15 a 20 dias

Descrição não disponível.
?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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Multiple Zeta-Functions;Root Systems;Functional Relations;Weyl Groups;Mellin--Barnes Integral Formula