Kohji Matsumoto, Tomokazu Onozuka, Isao Wakabayashi
Published 2016-01-22Version 1
We give explicit expressions (or at least an algorithm of obtaining such expressions) of the coefficients of the Laurent series expansions of the Euler-Zagier multiple zeta-functions at any integer points. The main tools are the Mellin-Barnes integral formula and the harmonic product formulas. The Mellin-Barnes integral formula is used in the induction process on the number of variables, and the harmonic product formula is used to show that the Laurent series expansion outside the domain of convergence can be obtained from that inside the domain of convergence.
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Functional equation for the Mordell-Tornheim multiple $L$-function
Values at non-positive integers of partially twisted multiple zeta-functions I
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