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- W3027337588 abstract "For a non-negative integer $N$, let $mathcal{Z}_{N}:=sum^N_{c = 0} mathbb{Q} cdot zeta(-c,s+c)$, where the right-hand side is the vector space spanned by the Euler-Zagier double zeta functions over $mathbb{Q}$. In this paper, we show that $mathcal{Z}_{N} =bigoplus^{N}_{c = 0 : text{even}} mathbb{Q} cdot zeta(-c,s+c)$, where $bigoplus$ is the direct sum of vector spaces. Moreover, we give a family of relations that exhaust all $mathbb{Q}$-linear relations on $mathcal{Z}_{N}$." @default.
- W3027337588 created "2020-05-29" @default.
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- W3027337588 date "2020-05-20" @default.
- W3027337588 modified "2023-09-25" @default.
- W3027337588 title "On a basis for Euler-Zagier double zeta functions with non-positive components" @default.
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- W3027337588 doi "https://doi.org/10.48550/arxiv.2005.09852" @default.
- W3027337588 hasPublicationYear "2020" @default.
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