caa a22 4500 463178211 CHVBK 20180406164831.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11139-006-0247-z doi (NATIONALLICENCE)springer-10.1007/s11139-006-0247-z An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series [Elektronische Daten] [C. Krattenthaler, T. Rivoal] We give a new proof of a theorem of Zudilin that equates a very-well-poised hypergeometric series and a particular multiple integral. This integral generalizes integrals of Vasilenko and Vasilyev which were proposed as tools in the study of the arithmetic behaviour of values of the Riemann zeta function at integers. Our proof is based on limiting cases of a basic hypergeometric identity of Andrews. Springer Science + Business Media, LLC, 2006 Riemann zeta function nationallicence Hypergeometric series nationallicence Krattenthaler C. Institut Girard Desargues, Université Claude Bernard Lyon-I, 21, avenue Claude Bernard, F-69622, Villeurbanne, Cedex, France aut Rivoal T. Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Université de Caen, BP 5186, 14032, Caen cedex, France aut The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 203-219 1382-4090 13:1-3<203 2007 13 11139 https://doi.org/10.1007/s11139-006-0247-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-006-0247-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Krattenthaler C. Institut Girard Desargues, Université Claude Bernard Lyon-I, 21, avenue Claude Bernard, F-69622, Villeurbanne, Cedex, France aut NATIONALLICENCE 700 1- Rivoal T. Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Université de Caen, BP 5186, 14032, Caen cedex, France aut NATIONALLICENCE 773 0- The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 203-219 1382-4090 13:1-3<203 2007 13 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer