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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 143–178
(Mi fpm891)
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On multiple integrals represented as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$
V. Kh. Salikhova, A. I. Frolovichevb a Bryansk Institute of Transport Engineering
b Bryansk State Technical University
Abstract:
A theorem on the presentability of a multiple integral as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$ over $\mathbb Q$ is proved. This theorem refines the results recently obtained by D. Vasiliev, V. Zudilin, and S. Zlobin.
Citation:
V. Kh. Salikhov, A. I. Frolovichev, “On multiple integrals represented as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$”, Fundam. Prikl. Mat., 11:6 (2005), 143–178; J. Math. Sci., 146:2 (2007), 5731–5758
Linking options:
https://www.mathnet.ru/eng/fpm891 https://www.mathnet.ru/eng/fpm/v11/i6/p143
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Statistics & downloads: |
Abstract page: | 391 | Full-text PDF : | 148 | References: | 47 | First page: | 1 |
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