Irrationality of the sums of zeta values (Q881038)
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scientific article; zbMATH DE number 5155484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irrationality of the sums of zeta values |
scientific article; zbMATH DE number 5155484 |
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Irrationality of the sums of zeta values (English)
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21 May 2007
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The main results of this paper are several lower bounds for dimensions of vector spaces spanned over \(\mathbb Q\). These vector spaces contain values of the zeta function in integer variables. The proofs are in the spirit of \textit{C. Krattenthaler} and \textit{T. Rivoal} [Hypergeometry and Riemann's zeta function, Mem. Am. Math. Soc. 875 (2007; Zbl 1113.11039)] or \textit{T. Rivoal} [C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 4, 267--270 (2000; Zbl 0973.11072)].
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irrationality
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linear independence
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zeta function
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