Irrationality of the sums of zeta values
type: Item
instance of: scholarly article
title: Irrationality of the sums of zeta values
zbMATH Open document ID: 1112.11035
published in: Mathematical Notes
publication date: 2007-05-21T00:00:00Z
review text: 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)].
reviewed by: Jaroslav Hančl
Mathematics Subject Classification ID: 11J72
zbMATH DE Number: 5155484
zbMATH Keywords: irrationality
zbMATH Keywords: linear independence
zbMATH Keywords: zeta function
author: T. Hessami Pilehrood
author: Kh. Hessami Pilehrood
MaRDI profile type: Publication
full work available at URL: s11006-006-0063-1
OpenAlex ID: W1994104970
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DOI: 10.1007/S11006-006-0063-1
description: scientific article; zbMATH DE number 5155484