polyzeta

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English

Etymology

From poly- +‎ zeta.

Noun

polyzeta (plural polyzetas)

  1. (mathematics) A complex function related to zeta functions
    • 2015, Gérard H.E. Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu, Van Chiên Bui, Quoc Hoan Ngô, “(Pure) transcendence bases in -deformed shuffle bialgebras”, in Seminaire Lotharingien de Combinatoire, volume Universit\'e Louis:
      The paper ends by the combinatorial setting of systems of local systems of coordinates on the group of group-like series. * The present work is part of a series of papers devoted to the study of the renormalization of divergent polyzetas (at positive and at non-positive indices) via the factorization of the non commutative generating series of polylogarithms and of harmonic sums and via the effective construction of pairs of dual bases in duality in -deformed shuffle algebras.