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- W3149303205 abstract "For $$s,t,u in {mathbb{C}}$$ , we show rapidly (or globally) convergent series representations of the Tornheim double zeta function T(s, t, u) and (desingularized) symmetric Tornheim double zeta functions. As a corollary, we give a new proof of known results on the values of T(s, s, s) at non-positive integers and the location of the poles of T(s, s, s). Furthermore, we prove that T(s, s, s) can not be written by a polynomial in the form of $$sum_{k=1}^j c_k prod_{r=1}^q zeta^{d_{kr}} (a_{kr} s + b_{kr})$$ , where $$a_{kr}, b_{kr}, c_k in {mathbb{C}}$$ and $$d_{kr} in {mathbb{Z}}_{ge 0}$$ ." @default.
- W3149303205 created "2021-04-13" @default.
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- W3149303205 date "2021-12-01" @default.
- W3149303205 modified "2023-09-26" @default.
- W3149303205 title "Rapidly convergent series representations of symmetric Tornheim double zeta functions" @default.
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- W3149303205 doi "https://doi.org/10.1007/s10474-021-01189-9" @default.
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