Values at non-positive integers of generalized Euler–Zagier multiple zeta-functions
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Publication:5220106
DOI10.4064/AA171120-13-3zbMATH Open1458.11131arXiv1703.07525OpenAlexW3008909143MaRDI QIDQ5220106
Author name not available (Why is that?)
Publication date: 10 March 2020
Published in: (Search for Journal in Brave)
Abstract: We give new closed and explicit formulas for "multiple zeta values" at non-positive integers of generalized Euler-Zagier multiple zeta-functions. We first prove these formulas for a small convenient class of these multiple zeta-functions and then use the analyticity of the values on the parameters defining the multiple zeta-functions to deduce the formulas in the general case. Also, for our aim we prove an extension of "Raabe's lemma" due to E. Friedman and A. Pereira.
Full work available at URL: https://arxiv.org/abs/1703.07525
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