Parametric Euler sum identities
Abstract
We consider some parametrized classes of multiple sums first studied by Euler. Identities between meromorphic functions of one or more variables in many cases account for reduction formulae for these sums.
- Publication:
-
Journal of Mathematical Analysis and Applications
- Pub Date:
- April 2006
- DOI:
- arXiv:
- arXiv:math/0505058
- Bibcode:
- 2006JMAA..316..328B
- Keywords:
-
- Euler sums;
- Zeta functions;
- Generating functions;
- Multiple zeta values;
- Mathematics - Classical Analysis and ODEs;
- 11M41
- E-Print:
- 12 pages