Mathematics – Classical Analysis and ODEs
Scientific paper
2003-12-08
Ramanujan J. 13 (2007), 203-219.
Mathematics
Classical Analysis and ODEs
14 pages; AmS-LaTeX; several corrections, and a reference added
Scientific paper
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.
Krattenthaler Christian
Rivoal Tanguy
No associations
LandOfFree
An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-252669