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arxiv: 1812.04494 · v1 · pith:HP4HMSEYnew · submitted 2018-12-10 · 🧮 math.NT

Values at non-positive integers of partially twisted multiple zeta-functions I

classification 🧮 math.NT
keywords twistedzeta-functionsmultiplenon-positivepartiallyvaluesbehaviorcase
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We study the behavior of partially twisted multiple zeta-functions. We give new closed and explicit formulas for special values at non-positive integer points of such zeta-functions. Our method is based on a result of M. de Crisenoy on the fully twisted case and the Mellin-Barnes integral formula.

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