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240:{\displaystyle \zeta _{N}(s,w\mid a_{1},\ldots ,a_{N})=\sum _{n_{1},\dots ,n_{N}\geq 0}{\frac {1}{(w+n_{1}a_{1}+\cdots +n_{N}a_{N})^{s}}}}
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Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character
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Friedman, Eduardo; Ruijsenaars, Simon (2004), "Shintani–Barnes zeta and gamma functions",
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Barnes, E. W. (1899), "The Theory of the Double Gamma
Function. ",
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Barnes, E. W. (1901), "The Theory of the Double Gamma
Function",
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464:"On Barnes' multiple zeta and gamma functions"
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411:Trans. Camb. Philos. Soc.
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386:10.1098/rsta.1901.0006
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523:mathematical analysis
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576:Zeta and L-functions
286:are simple poles at
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