FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 6, PAGES 143-178

On multiple integrals represented as a linear form in $1,$z(3), z(5), ¼, z(2k - 1)

V. Kh. Salikhov
A. I. Frolovichev

Abstract

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A theorem on the presentability of a multiple integral as a linear form in $1,$z(3), z(5), ¼, z(2k - 1) over $$Q is proved. This theorem refines the results recently obtained by D. Vasiliev, V. Zudilin, and S. Zlobin.

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